457004736 has 168 divisors, whose sum is σ = 1372971600. Its totient is φ = 145152000.

The previous prime is 457004729. The next prime is 457004767. The reversal of 457004736 is 637400754.

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 457004736.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1820611 + ... + 1820861.

It is an arithmetic number, because the mean of its divisors is an integer number (8172450).

Almost surely, 2^457004736 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 457004736, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (686485800).

457004736 is an abundant number, since it is smaller than the sum of its proper divisors (915966864).

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

457004736 is a wasteful number, since it uses less digits than its factorization.

457004736 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 407 (or 394 counting only the distinct ones).

The product of its (nonzero) digits is 70560, while the sum is 36.

The square root of 457004736 is about 21377.6690965128. The cubic root of 457004736 is about 770.2651226241.

The spelling of 457004736 in words is "four hundred fifty-seven million, four thousand, seven hundred thirty-six".