4972598400 has 864 divisors, whose sum is σ = 21476683440. Its totient is φ = 999936000.

The previous prime is 4972598359. The next prime is 4972598401. The reversal of 4972598400 is 48952794.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a self number, because there is not a number n which added to its sum of digits gives 4972598400.

It is not an unprimeable number, because it can be changed into a prime (4972598401) by changing a digit.

It is a polite number, since it can be written in 107 ways as a sum of consecutive naturals, for example, 160406385 + ... + 160406415.

Almost surely, 2^4972598400 is an apocalyptic number.

4972598400 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 4972598400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10738341720).

4972598400 is an abundant number, since it is smaller than the sum of its proper divisors (16504085040).

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

4972598400 is a wasteful number, since it uses less digits than its factorization.

4972598400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 114 (or 59 counting only the distinct ones).

The product of its (nonzero) digits is 725760, while the sum is 48.

The square root of 4972598400 is about 70516.6533522401. The cubic root of 4972598400 is about 1706.8464844171.

The spelling of 4972598400 in words is "four billion, nine hundred seventy-two million, five hundred ninety-eight thousand, four hundred".