474972595200 has 990 divisors, whose sum is σ = 1842806636594. Its totient is φ = 120872632320.

The previous prime is 474972595169. The next prime is 474972595241. The reversal of 474972595200 is 2595279474.

474972595200 is a `hidden beast` number, since 4 + 7 + 4 + 97 + 25 + 9 + 520 + 0 = 666.

It can be written as a sum of positive squares in 3 ways, for example, as 394896384 + 474577698816 = 19872^2 + 688896^2 .

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a polite number, since it can be written in 89 ways as a sum of consecutive naturals, for example, 1096934184 + ... + 1096934616.

Almost surely, 2^474972595200 is an apocalyptic number.

474972595200 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 474972595200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (921403318297).

474972595200 is an abundant number, since it is smaller than the sum of its proper divisors (1367834041394).

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

474972595200 is a wasteful number, since it uses less digits than its factorization.

474972595200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 521 (or 466 counting only the distinct ones).

The product of its (nonzero) digits is 6350400, while the sum is 54.

The spelling of 474972595200 in words is "four hundred seventy-four billion, nine hundred seventy-two million, five hundred ninety-five thousand, two hundred".