416474593920 has 2048 divisors, whose sum is σ = 1985347584000. Its totient is φ = 79924838400.

The previous prime is 416474593903. The next prime is 416474593961. The reversal of 416474593920 is 29395474614.

416474593920 is a `hidden beast` number, since 4 + 1 + 6 + 47 + 4 + 593 + 9 + 2 + 0 = 666.

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 255 ways as a sum of consecutive naturals, for example, 948689061 + ... + 948689499.

It is an arithmetic number, because the mean of its divisors is an integer number (969408000).

Almost surely, 2^416474593920 is an apocalyptic number.

416474593920 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 416474593920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (992673792000).

416474593920 is an abundant number, since it is smaller than the sum of its proper divisors (1568872990080).

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

416474593920 is a wasteful number, since it uses less digits than its factorization.

416474593920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 539 (or 521 counting only the distinct ones).

The product of its (nonzero) digits is 6531840, while the sum is 54.

The spelling of 416474593920 in words is "four hundred sixteen billion, four hundred seventy-four million, five hundred ninety-three thousand, nine hundred twenty".