474367680 has 168 divisors, whose sum is σ = 1717700400. Its totient is φ = 119826432.

The previous prime is 474367679. The next prime is 474367693. The reversal of 474367680 is 86763474.

474367680 is a `hidden beast` number, since 474 + 36 + 76 + 80 = 666.

It is a super-3 number, since 3×474367680³ (a number of 27 digits) contains 333 as substring.

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 50386 + ... + 59054.

Almost surely, 2^474367680 is an apocalyptic number.

474367680 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 474367680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (858850200).

474367680 is an abundant number, since it is smaller than the sum of its proper divisors (1243332720).

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

474367680 is a wasteful number, since it uses less digits than its factorization.

474367680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8711 (or 8698 counting only the distinct ones).

The product of its (nonzero) digits is 677376, while the sum is 45.

The square root of 474367680 is about 21779.9834710681. The cubic root of 474367680 is about 779.8990007293.

The spelling of 474367680 in words is "four hundred seventy-four million, three hundred sixty-seven thousand, six hundred eighty".