457370420 has 48 divisors (see below), whose sum is σ = 1044661968. Its totient is φ = 167193600.

The previous prime is 457370371. The next prime is 457370437. The reversal of 457370420 is 24073754.

It can be written as a sum of positive squares in 8 ways, for example, as 39413284 + 417957136 = 6278^2 + 20444^2 .

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 17552 + ... + 34968.

It is an arithmetic number, because the mean of its divisors is an integer number (21763791).

Almost surely, 2^457370420 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 457370420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (522330984).

457370420 is an abundant number, since it is smaller than the sum of its proper divisors (587291548).

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

457370420 is a wasteful number, since it uses less digits than its factorization.

457370420 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 17540 (or 17538 counting only the distinct ones).

The product of its (nonzero) digits is 23520, while the sum is 32.

The square root of 457370420 is about 21386.2203299227. The cubic root of 457370420 is about 770.4705169471.

The spelling of 457370420 in words is "four hundred fifty-seven million, three hundred seventy thousand, four hundred twenty".