474439680 has 560 divisors, whose sum is σ = 1998201744. Its totient is φ = 106168320.

The previous prime is 474439673. The next prime is 474439697. The reversal of 474439680 is 86934474.

474439680 is a `hidden beast` number, since 47 + 443 + 96 + 80 = 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 39 ways as a sum of consecutive naturals, for example, 36495354 + ... + 36495366.

Almost surely, 2^474439680 is an apocalyptic number.

474439680 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 474439680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (999100872).

474439680 is an abundant number, since it is smaller than the sum of its proper divisors (1523762064).

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

474439680 is a wasteful number, since it uses less digits than its factorization.

474439680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 67 (or 34 counting only the distinct ones).

The product of its (nonzero) digits is 580608, while the sum is 45.

The square root of 474439680 is about 21781.6363021698. The cubic root of 474439680 is about 779.9384566827.

The spelling of 474439680 in words is "four hundred seventy-four million, four hundred thirty-nine thousand, six hundred eighty".