457653996800 has 432 divisors, whose sum is σ = 1520936737152. Its totient is φ = 131670835200.

The previous prime is 457653996773. The next prime is 457653996827. The reversal of 457653996800 is 8699356754.

It is an interprime number because it is at equal distance from previous prime (457653996773) and next prime (457653996827).

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 47 ways as a sum of consecutive naturals, for example, 6370682 + ... + 6442118.

Almost surely, 2^457653996800 is an apocalyptic number.

457653996800 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 457653996800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (760468368576).

457653996800 is an abundant number, since it is smaller than the sum of its proper divisors (1063282740352).

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

457653996800 is a wasteful number, since it uses less digits than its factorization.

457653996800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 71494 (or 71475 counting only the distinct ones).

The product of its (nonzero) digits is 48988800, while the sum is 62.

The spelling of 457653996800 in words is "four hundred fifty-seven billion, six hundred fifty-three million, nine hundred ninety-six thousand, eight hundred".