457601240 has 32 divisors (see below), whose sum is σ = 1090169280. Its totient is φ = 172273152.

The previous prime is 457601231. The next prime is 457601251. The reversal of 457601240 is 42106754.

It is a super-3 number, since 3×457601240³ (a number of 27 digits) contains 333 as substring.

It is a congruent number.

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, 335792 + ... + 337151.

It is an arithmetic number, because the mean of its divisors is an integer number (34067790).

Almost surely, 2^457601240 is an apocalyptic number.

457601240 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

457601240 is an abundant number, since it is smaller than the sum of its proper divisors (632568040).

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

457601240 is a wasteful number, since it uses less digits than its factorization.

457601240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 672971 (or 672967 counting only the distinct ones).

The product of its (nonzero) digits is 6720, while the sum is 29.

The square root of 457601240 is about 21391.6161147306. The cubic root of 457601240 is about 770.6001056339.

Adding to 457601240 its reverse (42106754), we get a palindrome (499707994).

The spelling of 457601240 in words is "four hundred fifty-seven million, six hundred one thousand, two hundred forty".