457638000 has 160 divisors (see below), whose sum is σ = 1493743680. Its totient is φ = 120524800.

The previous prime is 457637989. The next prime is 457638017. The reversal of 457638000 is 836754.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 533572 + ... + 534428.

It is an arithmetic number, because the mean of its divisors is an integer number (9335898).

Almost surely, 2^457638000 is an apocalyptic number.

457638000 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 457638000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (746871840).

457638000 is an abundant number, since it is smaller than the sum of its proper divisors (1036105680).

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

457638000 is a wasteful number, since it uses less digits than its factorization.

457638000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 972 (or 956 counting only the distinct ones).

The product of its (nonzero) digits is 20160, while the sum is 33.

The square root of 457638000 is about 21392.4753125953. The cubic root of 457638000 is about 770.6207396845.

The spelling of 457638000 in words is "four hundred fifty-seven million, six hundred thirty-eight thousand".