473313456 has 560 divisors, whose sum is σ = 1873594368. Its totient is φ = 111974400.

The previous prime is 473313433. The next prime is 473313469. The reversal of 473313456 is 654313374.

473313456 is a `hidden beast` number, since 473 + 3 + 134 + 56 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a self number, because there is not a number n which added to its sum of digits gives 473313456.

It is an unprimeable number.

It is a polite number, since it can be written in 111 ways as a sum of consecutive naturals, for example, 15268161 + ... + 15268191.

Almost surely, 2^473313456 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 473313456, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (936797184).

473313456 is an abundant number, since it is smaller than the sum of its proper divisors (1400280912).

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

473313456 is a wasteful number, since it uses less digits than its factorization.

473313456 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 92 (or 71 counting only the distinct ones).

The product of its digits is 90720, while the sum is 36.

The square root of 473313456 is about 21755.7683385350. The cubic root of 473313456 is about 779.3208289139.

The spelling of 473313456 in words is "four hundred seventy-three million, three hundred thirteen thousand, four hundred fifty-six".