470881600 has 84 divisors (see below), whose sum is σ = 1324217824. Its totient is φ = 161441280.

The previous prime is 470881591. The next prime is 470881601. The reversal of 470881600 is 6188074.

It is a happy number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (470881601) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 9822 + ... + 32221.

Almost surely, 2^470881600 is an apocalyptic number.

470881600 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

470881600 is an abundant number, since it is smaller than the sum of its proper divisors (853336224).

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

470881600 is a wasteful number, since it uses less digits than its factorization.

470881600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 42072 (or 42057 counting only the distinct ones).

The product of its (nonzero) digits is 10752, while the sum is 34.

The square root of 470881600 is about 21699.8064507497. The cubic root of 470881600 is about 777.9838353512.

The spelling of 470881600 in words is "four hundred seventy million, eight hundred eighty-one thousand, six hundred".