457214688000 has 1296 divisors, whose sum is σ = 1935118654560. Its totient is φ = 103348224000.

The previous prime is 457214687927. The next prime is 457214688019. The reversal of 457214688000 is 886412754.

457214688000 is a `hidden beast` number, since 4 + 572 + 14 + 68 + 8 + 0 + 0 + 0 = 666.

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 polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 2526047910 + ... + 2526048090.

It is an arithmetic number, because the mean of its divisors is an integer number (1493147110).

Almost surely, 2^457214688000 is an apocalyptic number.

457214688000 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 457214688000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (967559327280).

457214688000 is an abundant number, since it is smaller than the sum of its proper divisors (1477903966560).

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

457214688000 is a wasteful number, since it uses less digits than its factorization.

457214688000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 411 (or 377 counting only the distinct ones).

The product of its (nonzero) digits is 430080, while the sum is 45.

The spelling of 457214688000 in words is "four hundred fifty-seven billion, two hundred fourteen million, six hundred eighty-eight thousand".