457215040 has 56 divisors (see below), whose sum is σ = 1091839320. Its totient is φ = 182366208.

The previous prime is 457215023. The next prime is 457215053. The reversal of 457215040 is 40512754.

It can be written as a sum of positive squares in 4 ways, for example, as 3013696 + 454201344 = 1736^2 + 21312^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 122644 + ... + 126316.

Almost surely, 2^457215040 is an apocalyptic number.

457215040 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 457215040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (545919660).

457215040 is an abundant number, since it is smaller than the sum of its proper divisors (634624280).

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

457215040 is a wasteful number, since it uses less digits than its factorization.

457215040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4079 (or 4069 counting only the distinct ones).

The product of its (nonzero) digits is 5600, while the sum is 28.

The square root of 457215040 is about 21382.5873083685. The cubic root of 457215040 is about 770.3832577927.

Adding to 457215040 its reverse (40512754), we get a palindrome (497727794).

The spelling of 457215040 in words is "four hundred fifty-seven million, two hundred fifteen thousand, forty".