470924496 has 120 divisors (see below), whose sum is σ = 1572488640. Its totient is φ = 134543808.

The previous prime is 470924479. The next prime is 470924501. The reversal of 470924496 is 694429074.

470924496 is a `hidden beast` number, since 4 + 70 + 92 + 4 + 496 = 666.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 10045 + ... + 32291.

It is an arithmetic number, because the mean of its divisors is an integer number (13104072).

Almost surely, 2^470924496 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 470924496, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (786244320).

470924496 is an abundant number, since it is smaller than the sum of its proper divisors (1101564144).

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

470924496 is a wasteful number, since it uses less digits than its factorization.

470924496 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 22278 (or 22259 counting only the distinct ones).

The product of its (nonzero) digits is 435456, while the sum is 45.

The square root of 470924496 is about 21700.7948241533. The cubic root of 470924496 is about 778.0074586861.

The spelling of 470924496 in words is "four hundred seventy million, nine hundred twenty-four thousand, four hundred ninety-six".