457338960 has 400 divisors, whose sum is σ = 1758168720. Its totient is φ = 109486080.

The previous prime is 457338929. The next prime is 457338967. The reversal of 457338960 is 69833754.

It can be written as a sum of positive squares in 8 ways, for example, as 205291584 + 252047376 = 14328^2 + 15876^2 .

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (457338967) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 5138596 + ... + 5138684.

Almost surely, 2^457338960 is an apocalyptic number.

457338960 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 457338960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (879084360).

457338960 is an abundant number, since it is smaller than the sum of its proper divisors (1300829760).

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

457338960 is a wasteful number, since it uses less digits than its factorization.

457338960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 188 (or 173 counting only the distinct ones).

The product of its (nonzero) digits is 544320, while the sum is 45.

The square root of 457338960 is about 21385.4847969364. The cubic root of 457338960 is about 770.4528510631.

The spelling of 457338960 in words is "four hundred fifty-seven million, three hundred thirty-eight thousand, nine hundred sixty".