457252306560 has 768 divisors, whose sum is σ = 1861933132800. Its totient is φ = 101235916800.

The previous prime is 457252306547. The next prime is 457252306597. The reversal of 457252306560 is 65603252754.

457252306560 is a `hidden beast` number, since 4 + 5 + 7 + 2 + 52 + 30 + 6 + 560 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 191397846 + ... + 191400234.

It is an arithmetic number, because the mean of its divisors is an integer number (2424392100).

Almost surely, 2^457252306560 is an apocalyptic number.

457252306560 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 457252306560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (930966566400).

457252306560 is an abundant number, since it is smaller than the sum of its proper divisors (1404680826240).

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

457252306560 is a wasteful number, since it uses less digits than its factorization.

457252306560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2569 (or 2554 counting only the distinct ones).

The product of its (nonzero) digits is 1512000, while the sum is 45.

The spelling of 457252306560 in words is "four hundred fifty-seven billion, two hundred fifty-two million, three hundred six thousand, five hundred sixty".