457338880 has 104 divisors (see below), whose sum is σ = 1112272272. Its totient is φ = 180486144.

The previous prime is 457338863. The next prime is 457338883. The reversal of 457338880 is 88833754.

It is a self number, because there is not a number n which added to its sum of digits gives 457338880.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (457338883) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 2805679 + ... + 2805841.

Almost surely, 2^457338880 is an apocalyptic number.

457338880 is a gapful number since it is divisible by the number (40) 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 457338880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (556136136).

457338880 is an abundant number, since it is smaller than the sum of its proper divisors (654933392).

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

457338880 is a wasteful number, since it uses less digits than its factorization.

457338880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 329 (or 307 counting only the distinct ones).

The product of its (nonzero) digits is 645120, while the sum is 46.

The square root of 457338880 is about 21385.4829265088. The cubic root of 457338880 is about 770.4528061393.

The spelling of 457338880 in words is "four hundred fifty-seven million, three hundred thirty-eight thousand, eight hundred eighty".