500052470400 has 1152 divisors, whose sum is σ = 2196638870400. Its totient is φ = 105708257280.

The previous prime is 500052470399. The next prime is 500052470441. The reversal of 500052470400 is 4074250005.

500052470400 is a `hidden beast` number, since 500 + 0 + 52 + 4 + 70 + 40 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1152).

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 202203564 + ... + 202206036.

It is an arithmetic number, because the mean of its divisors is an integer number (1906804575).

Almost surely, 2^500052470400 is an apocalyptic number.

500052470400 is a gapful number since it is divisible by the number (50) 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 500052470400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1098319435200).

500052470400 is an abundant number, since it is smaller than the sum of its proper divisors (1696586400000).

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

500052470400 is a wasteful number, since it uses less digits than its factorization.

500052470400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2586 (or 2566 counting only the distinct ones).

The product of its (nonzero) digits is 5600, while the sum is 27.

The spelling of 500052470400 in words is "five hundred billion, fifty-two million, four hundred seventy thousand, four hundred".