457397280 has 240 divisors, whose sum is σ = 1671266520. Its totient is φ = 117669888.

The previous prime is 457397273. The next prime is 457397299. The reversal of 457397280 is 82793754.

457397280 is a `hidden beast` number, since 4 + 573 + 9 + 72 + 8 + 0 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 338412816 + 118984464 = 18396^2 + 10908^2 .

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 (45).

It is an unprimeable number.

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 39 ways as a sum of consecutive naturals, for example, 375232 + ... + 376448.

Almost surely, 2^457397280 is an apocalyptic number.

457397280 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 457397280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (835633260).

457397280 is an abundant number, since it is smaller than the sum of its proper divisors (1213869240).

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

457397280 is a wasteful number, since it uses less digits than its factorization.

457397280 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1273 (or 1256 counting only the distinct ones).

The product of its (nonzero) digits is 423360, while the sum is 45.

The square root of 457397280 is about 21386.8482951556. The cubic root of 457397280 is about 770.4855991300.

The spelling of 457397280 in words is "four hundred fifty-seven million, three hundred ninety-seven thousand, two hundred eighty".