470083872 has 48 divisors (see below), whose sum is σ = 1239416640. Its totient is φ = 156003072.

The previous prime is 470083841. The next prime is 470083903. The reversal of 470083872 is 278380074.

It is an interprime number because it is at equal distance from previous prime (470083841) and next prime (470083903).

It is a tau number, because it is divible by the number of its divisors (48).

It is a self number, because there is not a number n which added to its sum of digits gives 470083872.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 11293 + ... + 32675.

It is an arithmetic number, because the mean of its divisors is an integer number (25821180).

Almost surely, 2^470083872 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 470083872, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (619708320).

470083872 is an abundant number, since it is smaller than the sum of its proper divisors (769332768).

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

470083872 is a wasteful number, since it uses less digits than its factorization.

470083872 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 21625 (or 21617 counting only the distinct ones).

The product of its (nonzero) digits is 75264, while the sum is 39.

The square root of 470083872 is about 21681.4176658262. The cubic root of 470083872 is about 777.5442554325.

The spelling of 470083872 in words is "four hundred seventy million, eighty-three thousand, eight hundred seventy-two".