457064448 has 120 divisors (see below), whose sum is σ = 1292854752. Its totient is φ = 143130624.

The previous prime is 457064429. The next prime is 457064459. The reversal of 457064448 is 844460754.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 835311 + ... + 835857.

Almost surely, 2^457064448 is an apocalyptic number.

457064448 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 457064448, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (646427376).

457064448 is an abundant number, since it is smaller than the sum of its proper divisors (835790304).

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

457064448 is an equidigital number, since it uses as much as digits as its factorization.

457064448 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 595 (or 569 counting only the distinct ones).

The product of its (nonzero) digits is 430080, while the sum is 42.

The square root of 457064448 is about 21379.0656484328. The cubic root of 457064448 is about 770.2986686426.

The spelling of 457064448 in words is "four hundred fifty-seven million, sixty-four thousand, four hundred forty-eight".