470631840 has 96 divisors (see below), whose sum is σ = 1694286720. Its totient is φ = 107572224.

The previous prime is 470631839. The next prime is 470631841. The reversal of 470631840 is 48136074.

It is an interprime number because it is at equal distance from previous prime (470631839) and next prime (470631841).

It is a tau number, because it is divible by the number of its divisors (96).

It is not an unprimeable number, because it can be changed into a prime (470631841) by changing a digit.

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, 66675 + ... + 73394.

It is an arithmetic number, because the mean of its divisors is an integer number (17648820).

Almost surely, 2^470631840 is an apocalyptic number.

470631840 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

470631840 is an abundant number, since it is smaller than the sum of its proper divisors (1223654880).

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

470631840 is a wasteful number, since it uses less digits than its factorization.

470631840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 140094 (or 140086 counting only the distinct ones).

The product of its (nonzero) digits is 16128, while the sum is 33.

The square root of 470631840 is about 21694.0507973960. The cubic root of 470631840 is about 777.8462610598.

The spelling of 470631840 in words is "four hundred seventy million, six hundred thirty-one thousand, eight hundred forty".