457772342400 has 768 divisors, whose sum is σ = 1711274400000. Its totient is φ = 120977141760.

The previous prime is 457772342387. The next prime is 457772342411. The reversal of 457772342400 is 4243277754.

457772342400 is a `hidden beast` number, since 4 + 5 + 7 + 7 + 7 + 234 + 2 + 400 = 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, 1042761381 + ... + 1042761819.

It is an arithmetic number, because the mean of its divisors is an integer number (2228221875).

Almost surely, 2^457772342400 is an apocalyptic number.

457772342400 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 457772342400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (855637200000).

457772342400 is an abundant number, since it is smaller than the sum of its proper divisors (1253502057600).

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

457772342400 is an equidigital number, since it uses as much as digits as its factorization.

457772342400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 633 (or 598 counting only the distinct ones).

The product of its (nonzero) digits is 1317120, while the sum is 45.

The spelling of 457772342400 in words is "four hundred fifty-seven billion, seven hundred seventy-two million, three hundred forty-two thousand, four hundred".