457504908 has 96 divisors (see below), whose sum is σ = 1242683904. Its totient is φ = 128314368.

The previous prime is 457504849. The next prime is 457504919. The reversal of 457504908 is 809405754.

It is a Smith number, since the sum of its digits (42) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a self number, because there is not a number n which added to its sum of digits gives 457504908.

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, 1490091 + ... + 1490397.

It is an arithmetic number, because the mean of its divisors is an integer number (12944624).

Almost surely, 2^457504908 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 457504908, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (621341952).

457504908 is an abundant number, since it is smaller than the sum of its proper divisors (785178996).

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

457504908 is a wasteful number, since it uses less digits than its factorization.

457504908 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 591 (or 589 counting only the distinct ones).

The product of its (nonzero) digits is 201600, while the sum is 42.

The square root of 457504908 is about 21389.3643664322. The cubic root of 457504908 is about 770.5460275032.

The spelling of 457504908 in words is "four hundred fifty-seven million, five hundred four thousand, nine hundred eight".