474813326520 has 640 divisors, whose sum is σ = 1867574016000. Its totient is φ = 107148303360.

The previous prime is 474813326513. The next prime is 474813326573. The reversal of 474813326520 is 25623318474.

474813326520 is a `hidden beast` number, since 4 + 74 + 8 + 1 + 33 + 26 + 520 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 24799111 + ... + 24818249.

It is an arithmetic number, because the mean of its divisors is an integer number (2918084400).

Almost surely, 2^474813326520 is an apocalyptic number.

474813326520 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 474813326520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (933787008000).

474813326520 is an abundant number, since it is smaller than the sum of its proper divisors (1392760689480).

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

474813326520 is a wasteful number, since it uses less digits than its factorization.

474813326520 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 19225 (or 19212 counting only the distinct ones).

The product of its (nonzero) digits is 967680, while the sum is 45.

The spelling of 474813326520 in words is "four hundred seventy-four billion, eight hundred thirteen million, three hundred twenty-six thousand, five hundred twenty".