457320960 has 240 divisors, whose sum is σ = 1654608384. Its totient is φ = 116514816.

The previous prime is 457320949. The next prime is 457320971. The reversal of 457320960 is 69023754.

457320960 = 253² + 254² + ... + 1115².

457320960 is a `hidden beast` number, since 4 + 573 + 20 + 9 + 60 = 666.

It is an interprime number because it is at equal distance from previous prime (457320949) and next prime (457320971).

It is a tau number, because it is divible by the number of its divisors (240).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 529489 + ... + 530351.

Almost surely, 2^457320960 is an apocalyptic number.

457320960 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 457320960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (827304192).

457320960 is an abundant number, since it is smaller than the sum of its proper divisors (1197287424).

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

457320960 is a wasteful number, since it uses less digits than its factorization.

457320960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 915 (or 896 counting only the distinct ones).

The product of its (nonzero) digits is 45360, while the sum is 36.

The square root of 457320960 is about 21385.0639465960. The cubic root of 457320960 is about 770.4427430729.

The spelling of 457320960 in words is "four hundred fifty-seven million, three hundred twenty thousand, nine hundred sixty".