4760870400 has 1080 divisors, whose sum is σ = 21263185944. Its totient is φ = 1002700800.

The previous prime is 4760870371. The next prime is 4760870479. The reversal of 4760870400 is 40780674.

It is a happy number.

4760870400 is a `hidden beast` number, since 4 + 7 + 608 + 7 + 0 + 40 + 0 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 107 ways as a sum of consecutive naturals, for example, 280051192 + ... + 280051208.

Almost surely, 2^4760870400 is an apocalyptic number.

4760870400 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 4760870400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10631592972).

4760870400 is an abundant number, since it is smaller than the sum of its proper divisors (16502315544).

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

4760870400 is a wasteful number, since it uses less digits than its factorization.

4760870400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 92 (or 51 counting only the distinct ones).

The product of its (nonzero) digits is 37632, while the sum is 36.

The square root of 4760870400 is about 68999.0608631741. The cubic root of 4760870400 is about 1682.2690428475.

The spelling of 4760870400 in words is "four billion, seven hundred sixty million, eight hundred seventy thousand, four hundred".