457215240 has 128 divisors (see below), whose sum is σ = 1456128000. Its totient is φ = 114524928.

The previous prime is 457215167. The next prime is 457215251. The reversal of 457215240 is 42512754.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 457215198 and 457215207.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 288771 + ... + 290349.

It is an arithmetic number, because the mean of its divisors is an integer number (11376000).

Almost surely, 2^457215240 is an apocalyptic number.

457215240 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 457215240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (728064000).

457215240 is an abundant number, since it is smaller than the sum of its proper divisors (998912760).

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

457215240 is a wasteful number, since it uses less digits than its factorization.

457215240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1739 (or 1735 counting only the distinct ones).

The product of its (nonzero) digits is 11200, while the sum is 30.

The square root of 457215240 is about 21382.5919850705. The cubic root of 457215240 is about 770.3833701225.

Adding to 457215240 its reverse (42512754), we get a palindrome (499727994).

The spelling of 457215240 in words is "four hundred fifty-seven million, two hundred fifteen thousand, two hundred forty".