472683680 has 96 divisors (see below), whose sum is σ = 1300489344. Its totient is φ = 158985216.

The previous prime is 472683667. The next prime is 472683703. The reversal of 472683680 is 86386274.

It is a super-2 number, since 2×472683680² = 446859722676684800, which contains 22 as substring.

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 15 ways as a sum of consecutive naturals, for example, 55379 + ... + 63341.

It is an arithmetic number, because the mean of its divisors is an integer number (13546764).

Almost surely, 2^472683680 is an apocalyptic number.

472683680 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 472683680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (650244672).

472683680 is an abundant number, since it is smaller than the sum of its proper divisors (827805664).

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

472683680 is a wasteful number, since it uses less digits than its factorization.

472683680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8038 (or 8030 counting only the distinct ones).

The product of its (nonzero) digits is 387072, while the sum is 44.

The square root of 472683680 is about 21741.2897501505. The cubic root of 472683680 is about 778.9750289026.

The spelling of 472683680 in words is "four hundred seventy-two million, six hundred eighty-three thousand, six hundred eighty".