457673214000 has 80 divisors (see below), whose sum is σ = 1475538461280. Its totient is φ = 122046188800.

The previous prime is 457673213989. The next prime is 457673214001. The reversal of 457673214000 is 412376754.

It is a tau number, because it is divible by the number of its divisors (80).

It is a self number, because there is not a number n which added to its sum of digits gives 457673214000.

It is not an unprimeable number, because it can be changed into a prime (457673214001) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 38133435 + ... + 38145434.

It is an arithmetic number, because the mean of its divisors is an integer number (18444230766).

Almost surely, 2^457673214000 is an apocalyptic number.

457673214000 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

457673214000 is an abundant number, since it is smaller than the sum of its proper divisors (1017865247280).

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

457673214000 is a wasteful number, since it uses less digits than its factorization.

457673214000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 76278895 (or 76278879 counting only the distinct ones).

The product of its (nonzero) digits is 141120, while the sum is 39.

The spelling of 457673214000 in words is "four hundred fifty-seven billion, six hundred seventy-three million, two hundred fourteen thousand".