457211275466400 has 2304 divisors, whose sum is σ = 2059655693598720. Its totient is φ = 95312609280000.

The previous prime is 457211275466389. The next prime is 457211275466431. The reversal of 457211275466400 is 4664572112754.

457211275466400 is a `hidden beast` number, since 4 + 5 + 7 + 2 + 1 + 127 + 54 + 66 + 400 = 666.

It is a super-2 number, since 2×457211275466400² (a number of 30 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a polite number, since it can be written in 383 ways as a sum of consecutive naturals, for example, 62657427552 + ... + 62657434848.

It is an arithmetic number, because the mean of its divisors is an integer number (893947783680).

Almost surely, 2^{457211275466400} is an apocalyptic number.

457211275466400 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 457211275466400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1029827846799360).

457211275466400 is an abundant number, since it is smaller than the sum of its proper divisors (1602444418132320).

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

457211275466400 is a wasteful number, since it uses less digits than its factorization.

457211275466400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7724 (or 7705 counting only the distinct ones).

The product of its (nonzero) digits is 11289600, while the sum is 54.

The spelling of 457211275466400 in words is "four hundred fifty-seven trillion, two hundred eleven billion, two hundred seventy-five million, four hundred sixty-six thousand, four hundred".