470420832 has 192 divisors, whose sum is σ = 1480550400. Its totient is φ = 127948800.

The previous prime is 470420809. The next prime is 470420857. The reversal of 470420832 is 238024074.

It is a self number, because there is not a number n which added to its sum of digits gives 470420832.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1968169 + ... + 1968407.

It is an arithmetic number, because the mean of its divisors is an integer number (7711200).

Almost surely, 2^470420832 is an apocalyptic number.

470420832 is a gapful number since it is divisible by the number (42) 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 470420832, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (740275200).

470420832 is an abundant number, since it is smaller than the sum of its proper divisors (1010129568).

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

470420832 is a wasteful number, since it uses less digits than its factorization.

470420832 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 389 (or 381 counting only the distinct ones).

The product of its (nonzero) digits is 10752, while the sum is 30.

The square root of 470420832 is about 21689.1869833795. The cubic root of 470420832 is about 777.7299944401.

The spelling of 470420832 in words is "four hundred seventy million, four hundred twenty thousand, eight hundred thirty-two".