457022077488 has 240 divisors, whose sum is σ = 1355689420800. Its totient is φ = 143324743680.

The previous prime is 457022077451. The next prime is 457022077541. The reversal of 457022077488 is 884770220754.

457022077488 is a `hidden beast` number, since 4 + 5 + 70 + 2 + 20 + 77 + 488 = 666.

It is a super-2 number, since 2×457022077488² (a number of 24 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 315840381 + ... + 315841827.

It is an arithmetic number, because the mean of its divisors is an integer number (5648705920).

Almost surely, 2^457022077488 is an apocalyptic number.

457022077488 is a gapful number since it is divisible by the number (48) 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 457022077488, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (677844710400).

457022077488 is an abundant number, since it is smaller than the sum of its proper divisors (898667343312).

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

457022077488 is a wasteful number, since it uses less digits than its factorization.

457022077488 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2200 (or 2191 counting only the distinct ones).

The product of its (nonzero) digits is 7024640, while the sum is 54.

The spelling of 457022077488 in words is "four hundred fifty-seven billion, twenty-two million, seventy-seven thousand, four hundred eighty-eight".