457445222400 has 288 divisors, whose sum is σ = 1515479565600. Its totient is φ = 121724928000.

The previous prime is 457445222383. The next prime is 457445222419. The reversal of 457445222400 is 4222544754.

It is a super-2 number, since 2×457445222400² (a number of 24 digits) contains 22 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 78179475 + ... + 78185325.

It is an arithmetic number, because the mean of its divisors is an integer number (5262081825).

Almost surely, 2^457445222400 is an apocalyptic number.

457445222400 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 457445222400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (757739782800).

457445222400 is an abundant number, since it is smaller than the sum of its proper divisors (1058034343200).

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

457445222400 is a wasteful number, since it uses less digits than its factorization.

457445222400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6395 (or 6370 counting only the distinct ones).

The product of its (nonzero) digits is 358400, while the sum is 39.

The spelling of 457445222400 in words is "four hundred fifty-seven billion, four hundred forty-five million, two hundred twenty-two thousand, four hundred".