4901293800 has 720 divisors, whose sum is σ = 19949543460. Its totient is φ = 1104814080.

The previous prime is 4901293777. The next prime is 4901293801. The reversal of 4901293800 is 83921094.

4901293800 is a `hidden beast` number, since 490 + 1 + 2 + 93 + 80 + 0 = 666.

It can be written as a sum of positive squares in 18 ways, for example, as 337750884 + 4563542916 = 18378^2 + 67554^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4901293801) by changing a digit.

It is a polite number, since it can be written in 179 ways as a sum of consecutive naturals, for example, 132467382 + ... + 132467418.

Almost surely, 2^4901293800 is an apocalyptic number.

4901293800 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 4901293800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9974771730).

4901293800 is an abundant number, since it is smaller than the sum of its proper divisors (15048249660).

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

4901293800 is a wasteful number, since it uses less digits than its factorization.

4901293800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 132 (or 77 counting only the distinct ones).

The product of its (nonzero) digits is 15552, while the sum is 36.

The square root of 4901293800 is about 70009.2408186234. The cubic root of 4901293800 is about 1698.6487301295.

The spelling of 4901293800 in words is "four billion, nine hundred one million, two hundred ninety-three thousand, eight hundred".