457290720 has 72 divisors (see below), whose sum is σ = 1560509496. Its totient is φ = 121943808.

The previous prime is 457290719. The next prime is 457290721. The reversal of 457290720 is 27092754.

It is an interprime number because it is at equal distance from previous prime (457290719) and next prime (457290721).

It is a tau number, because it is divible by the number of its divisors (72).

It is a super-2 number, since 2×457290720² = 418229605196236800, which contains 22 as substring.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (457290721) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 157342 + ... + 160221.

It is an arithmetic number, because the mean of its divisors is an integer number (21673743).

Almost surely, 2^457290720 is an apocalyptic number.

457290720 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

457290720 is an abundant number, since it is smaller than the sum of its proper divisors (1103218776).

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

457290720 is a wasteful number, since it uses less digits than its factorization.

457290720 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 317584 (or 317573 counting only the distinct ones).

The product of its (nonzero) digits is 35280, while the sum is 36.

The square root of 457290720 is about 21384.3568993786. The cubic root of 457290720 is about 770.4257610521.

The spelling of 457290720 in words is "four hundred fifty-seven million, two hundred ninety thousand, seven hundred twenty".