457064395200 has 1512 divisors, whose sum is σ = 2014582427520. Its totient is φ = 97716326400.

The previous prime is 457064395169. The next prime is 457064395211. The reversal of 457064395200 is 2593460754.

457064395200 is a `hidden beast` number, since 4 + 5 + 7 + 0 + 6 + 439 + 5 + 200 = 666.

It is a super-2 number, since 2×457064395200² (a number of 24 digits) contains 22 as substring.

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 215 ways as a sum of consecutive naturals, for example, 1380859035 + ... + 1380859365.

Almost surely, 2^457064395200 is an apocalyptic number.

457064395200 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 457064395200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1007291213760).

457064395200 is an abundant number, since it is smaller than the sum of its proper divisors (1557518032320).

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

457064395200 is a wasteful number, since it uses less digits than its factorization.

457064395200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 495 (or 470 counting only the distinct ones).

The product of its (nonzero) digits is 907200, while the sum is 45.

The spelling of 457064395200 in words is "four hundred fifty-seven billion, sixty-four million, three hundred ninety-five thousand, two hundred".