474305359993920 has 7056 divisors, whose sum is σ = 2350792136039040. Its totient is φ = 88944293707776.

The previous prime is 474305359993909. The next prime is 474305359993957. The reversal of 474305359993920 is 29399953503474.

474305359993920 is a `hidden beast` number, since 4 + 7 + 4 + 3 + 0 + 5 + 3 + 599 + 9 + 3 + 9 + 20 = 666.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is an unprimeable number.

It is a polite number, since it can be written in 1007 ways as a sum of consecutive naturals, for example, 1515352587684 + ... + 1515352587996.

Almost surely, 2^{474305359993920} is an apocalyptic number.

474305359993920 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 474305359993920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1175396068019520).

474305359993920 is an abundant number, since it is smaller than the sum of its proper divisors (1876486776045120).

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

474305359993920 is a wasteful number, since it uses less digits than its factorization.

474305359993920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 434 (or 379 counting only the distinct ones).

The product of its (nonzero) digits is 992023200, while the sum is 72.

The spelling of 474305359993920 in words is "four hundred seventy-four trillion, three hundred five billion, three hundred fifty-nine million, nine hundred ninety-three thousand, nine hundred twenty".