457083000 has 512 divisors, whose sum is σ = 1842048000. Its totient is φ = 104976000.

The previous prime is 457082999. The next prime is 457083017. The reversal of 457083000 is 380754.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 24056991 + ... + 24057009.

It is an arithmetic number, because the mean of its divisors is an integer number (3597750).

Almost surely, 2^457083000 is an apocalyptic number.

457083000 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 457083000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (921024000).

457083000 is an abundant number, since it is smaller than the sum of its proper divisors (1384965000).

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

457083000 is a wasteful number, since it uses less digits than its factorization.

457083000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 72 (or 40 counting only the distinct ones).

The product of its (nonzero) digits is 3360, while the sum is 27.

The square root of 457083000 is about 21379.4995264155. The cubic root of 457083000 is about 770.3090905044.

The spelling of 457083000 in words is "four hundred fifty-seven million, eighty-three thousand".