4837294080 has 330 divisors, whose sum is σ = 17413628946. Its totient is φ = 1289945088.

The previous prime is 4837294069. The next prime is 4837294117. The reversal of 4837294080 is 804927384.

It is a Jordan-Polya number, since it can be written as 6! ⋅ 4! ⋅ (3!)⁷.

4837294080 is a `hidden beast` number, since 483 + 7 + 2 + 94 + 0 + 80 = 666.

It can be written as a sum of positive squares in only one way, i.e., 3869835264 + 967458816 = 62208^2 + 31104^2 .

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a nialpdrome in base 12.

It is a Saint-Exupery number, since it is equal to the product of the sides of a Pythagorean triangle: 2160 × 1296 × 1728.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 21 ways as a sum of consecutive naturals, for example, 967458814 + ... + 967458818.

Almost surely, 2^4837294080 is an apocalyptic number.

4837294080 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4837294080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8706814473).

4837294080 is an abundant number, since it is smaller than the sum of its proper divisors (12576334866).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

4837294080 is an frugal number, since it uses more digits than its factorization.

4837294080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 63 (or 10 counting only the distinct ones).

The product of its (nonzero) digits is 387072, while the sum is 45.

The square root of 4837294080 is about 69550.6583721535. The cubic root of 4837294080 is about 1691.2228209849. Note that the first 3 decimals are identical.

Multiplying 4837294080 by its sum of digits (45), we get a square (217678233600 = 466560²).

4837294080 divided by its sum of digits (45) gives a square (107495424 = 10368²).

The spelling of 4837294080 in words is "four billion, eight hundred thirty-seven million, two hundred ninety-four thousand, eighty".