457252840 has 64 divisors (see below), whose sum is σ = 1129023360. Its totient is φ = 165285120.

The previous prime is 457252799. The next prime is 457252843. The reversal of 457252840 is 48252754.

It is a happy number.

It is a Smith number, since the sum of its digits (37) coincides with the sum of the digits of its prime factors.

It is a self number, because there is not a number n which added to its sum of digits gives 457252840.

It is not an unprimeable number, because it can be changed into a prime (457252843) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 73117 + ... + 79123.

It is an arithmetic number, because the mean of its divisors is an integer number (17640990).

Almost surely, 2^457252840 is an apocalyptic number.

457252840 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 457252840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (564511680).

457252840 is an abundant number, since it is smaller than the sum of its proper divisors (671770520).

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

457252840 is a wasteful number, since it uses less digits than its factorization.

457252840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6202 (or 6198 counting only the distinct ones).

The product of its (nonzero) digits is 89600, while the sum is 37.

The square root of 457252840 is about 21383.4711868770. The cubic root of 457252840 is about 770.4044875439.

The spelling of 457252840 in words is "four hundred fifty-seven million, two hundred fifty-two thousand, eight hundred forty".