457624284 has 72 divisors (see below), whose sum is σ = 1206640512. Its totient is φ = 134671680.

The previous prime is 457624273. The next prime is 457624303. The reversal of 457624284 is 482426754.

It is a happy number.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 41739 + ... + 51549.

It is an arithmetic number, because the mean of its divisors is an integer number (16758896).

Almost surely, 2^457624284 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 457624284, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (603320256).

457624284 is an abundant number, since it is smaller than the sum of its proper divisors (749016228).

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

457624284 is a wasteful number, since it uses less digits than its factorization.

457624284 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9867 (or 9852 counting only the distinct ones).

The product of its digits is 430080, while the sum is 42.

The square root of 457624284 is about 21392.1547301809. The cubic root of 457624284 is about 770.6130407757.

The spelling of 457624284 in words is "four hundred fifty-seven million, six hundred twenty-four thousand, two hundred eighty-four".