4760558400 has 672 divisors, whose sum is σ = 18286829568. Its totient is φ = 1074585600.

The previous prime is 4760558381. The next prime is 4760558441. The reversal of 4760558400 is 48550674.

It is a Harshad number since it is a multiple of its sum of digits (39).

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 95 ways as a sum of consecutive naturals, for example, 44491147 + ... + 44491253.

It is an arithmetic number, because the mean of its divisors is an integer number (27212544).

Almost surely, 2^4760558400 is an apocalyptic number.

4760558400 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 4760558400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9143414784).

4760558400 is an abundant number, since it is smaller than the sum of its proper divisors (13526271168).

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

4760558400 is a wasteful number, since it uses less digits than its factorization.

4760558400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 199 (or 184 counting only the distinct ones).

The product of its (nonzero) digits is 134400, while the sum is 39.

The square root of 4760558400 is about 68996.7999257937. The cubic root of 4760558400 is about 1682.2322933064.

The spelling of 4760558400 in words is "four billion, seven hundred sixty million, five hundred fifty-eight thousand, four hundred".