457354720 has 24 divisors (see below), whose sum is σ = 1080500904. Its totient is φ = 182941824.

The previous prime is 457354627. The next prime is 457354727. The reversal of 457354720 is 27453754.

It is a happy number.

It is a self number, because there is not a number n which added to its sum of digits gives 457354720.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (457354727) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 1429074 + ... + 1429393.

It is an arithmetic number, because the mean of its divisors is an integer number (45020871).

Almost surely, 2^457354720 is an apocalyptic number.

457354720 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

457354720 is an abundant number, since it is smaller than the sum of its proper divisors (623146184).

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

457354720 is a wasteful number, since it uses less digits than its factorization.

457354720 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2858482 (or 2858474 counting only the distinct ones).

The product of its (nonzero) digits is 117600, while the sum is 37.

The square root of 457354720 is about 21385.8532679900. The cubic root of 457354720 is about 770.4617009524.

The spelling of 457354720 in words is "four hundred fifty-seven million, three hundred fifty-four thousand, seven hundred twenty".