470992896 has 288 divisors, whose sum is σ = 1563831360. Its totient is φ = 135168000.

The previous prime is 470992891. The next prime is 470992931. The reversal of 470992896 is 698299074.

470992896 is a `hidden beast` number, since 470 + 9 + 92 + 89 + 6 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

It is not an unprimeable number, because it can be changed into a prime (470992891) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 4663246 + ... + 4663346.

It is an arithmetic number, because the mean of its divisors is an integer number (5429970).

Almost surely, 2^470992896 is an apocalyptic number.

470992896 is a gapful number since it is divisible by the number (46) 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 470992896, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (781915680).

470992896 is an abundant number, since it is smaller than the sum of its proper divisors (1092838464).

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

470992896 is a wasteful number, since it uses less digits than its factorization.

470992896 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 163 (or 140 counting only the distinct ones).

The product of its (nonzero) digits is 1959552, while the sum is 54.

The square root of 470992896 is about 21702.3707460729. The cubic root of 470992896 is about 778.0451244085.

The spelling of 470992896 in words is "four hundred seventy million, nine hundred ninety-two thousand, eight hundred ninety-six".