457809408 has 400 divisors, whose sum is σ = 1663643520. Its totient is φ = 122425344.

The previous prime is 457809343. The next prime is 457809409. The reversal of 457809408 is 804908754.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (457809409) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 5515735 + ... + 5515817.

Almost surely, 2^457809408 is an apocalyptic number.

457809408 is a gapful number since it is divisible by the number (48) 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 457809408, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (831821760).

457809408 is an abundant number, since it is smaller than the sum of its proper divisors (1205834112).

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

457809408 is an equidigital number, since it uses as much as digits as its factorization.

457809408 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 139 (or 114 counting only the distinct ones).

The product of its (nonzero) digits is 322560, while the sum is 45.

The square root of 457809408 is about 21396.4812060301. The cubic root of 457809408 is about 770.7169394987.

The spelling of 457809408 in words is "four hundred fifty-seven million, eight hundred nine thousand, four hundred eight".