4812857280 has 504 divisors, whose sum is σ = 20805928416. Its totient is φ = 999567360.

The previous prime is 4812857261. The next prime is 4812857303. The reversal of 4812857280 is 827582184.

It is a happy number.

4812857280 is a `hidden beast` number, since 481 + 28 + 5 + 72 + 80 = 666.

It is a tau number, because it is divible by the number of its divisors (504).

It is a super-3 number, since 3×4812857280³ (a number of 30 digits) contains 333 as substring.

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 2438374 + ... + 2440346.

It is an arithmetic number, because the mean of its divisors is an integer number (41281604).

Almost surely, 2^4812857280 is an apocalyptic number.

4812857280 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 4812857280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10402964208).

4812857280 is an abundant number, since it is smaller than the sum of its proper divisors (15993071136).

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

4812857280 is a wasteful number, since it uses less digits than its factorization.

4812857280 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2025 (or 2001 counting only the distinct ones).

The product of its (nonzero) digits is 286720, while the sum is 45.

The square root of 4812857280 is about 69374.7596752594. The cubic root of 4812857280 is about 1688.3701336386.

The spelling of 4812857280 in words is "four billion, eight hundred twelve million, eight hundred fifty-seven thousand, two hundred eighty".