457002432 has 224 divisors, whose sum is σ = 1457187840. Its totient is φ = 139898880.

The previous prime is 457002431. The next prime is 457002437. The reversal of 457002432 is 234200754.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a junction number, because it is equal to n+sod(n) for n = 457002396 and 457002405.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (457002431) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1380507 + ... + 1380837.

Almost surely, 2^457002432 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 457002432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (728593920).

457002432 is an abundant number, since it is smaller than the sum of its proper divisors (1000185408).

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

457002432 is a wasteful number, since it uses less digits than its factorization.

457002432 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 416 (or 400 counting only the distinct ones).

The product of its (nonzero) digits is 6720, while the sum is 27.

The square root of 457002432 is about 21377.6152084371. The cubic root of 457002432 is about 770.2638281854.

The spelling of 457002432 in words is "four hundred fifty-seven million, two thousand, four hundred thirty-two".