457947252 has 144 divisors (see below), whose sum is σ = 1389466624. Its totient is φ = 124545600.

The previous prime is 457947251. The next prime is 457947257. The reversal of 457947252 is 252749754.

457947252 is a `hidden beast` number, since 4 + 579 + 4 + 72 + 5 + 2 = 666.

It is a super-2 number, since 2×457947252² = 419431371228703008, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 457947198 and 457947207.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (457947251) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 7507302 + ... + 7507362.

Almost surely, 2^457947252 is an apocalyptic number.

457947252 is a gapful number since it is divisible by the number (42) 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 457947252, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (694733312).

457947252 is an abundant number, since it is smaller than the sum of its proper divisors (931519372).

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

457947252 is a wasteful number, since it uses less digits than its factorization.

457947252 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 171 (or 104 counting only the distinct ones).

The product of its digits is 705600, while the sum is 45.

The square root of 457947252 is about 21399.7021474599. The cubic root of 457947252 is about 770.7942846727.

The spelling of 457947252 in words is "four hundred fifty-seven million, nine hundred forty-seven thousand, two hundred fifty-two".