474992985600 has 960 divisors, whose sum is σ = 2033691264000. Its totient is φ = 108542730240.

The previous prime is 474992985527. The next prime is 474992985613. The reversal of 474992985600 is 6589299474.

474992985600 is a `hidden beast` number, since 4 + 7 + 49 + 9 + 29 + 8 + 560 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (960).

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 118538797 + ... + 118542803.

It is an arithmetic number, because the mean of its divisors is an integer number (2118428400).

Almost surely, 2^474992985600 is an apocalyptic number.

474992985600 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 474992985600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1016845632000).

474992985600 is an abundant number, since it is smaller than the sum of its proper divisors (1558698278400).

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

474992985600 is an equidigital number, since it uses as much as digits as its factorization.

474992985600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4065 (or 4024 counting only the distinct ones).

The product of its (nonzero) digits is 39191040, while the sum is 63.

The spelling of 474992985600 in words is "four hundred seventy-four billion, nine hundred ninety-two million, nine hundred eighty-five thousand, six hundred".