457989408 has 36 divisors (see below), whose sum is σ = 1302408198. Its totient is φ = 152663040.

The previous prime is 457989383. The next prime is 457989437. The reversal of 457989408 is 804989754.

It can be written as a sum of positive squares in only one way, i.e., 359026704 + 98962704 = 18948^2 + 9948^2 .

It is a tau number, because it is divible by the number of its divisors (36).

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 5 ways as a sum of consecutive naturals, for example, 794833 + ... + 795408.

Almost surely, 2^457989408 is an apocalyptic number.

457989408 is a gapful number since it is divisible by the number (48) formed by its first and last digit.

It is an amenable number.

457989408 is an abundant number, since it is smaller than the sum of its proper divisors (844418790).

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

457989408 is a wasteful number, since it uses less digits than its factorization.

457989408 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1590257 (or 1590246 counting only the distinct ones).

The product of its (nonzero) digits is 2903040, while the sum is 54.

The square root of 457989408 is about 21400.6870917735. The cubic root of 457989408 is about 770.8179355820.

The spelling of 457989408 in words is "four hundred fifty-seven million, nine hundred eighty-nine thousand, four hundred eight".