457071000 has 128 divisors (see below), whose sum is σ = 1434101760. Its totient is φ = 121200000.

The previous prime is 457070983. The next prime is 457071047. The reversal of 457071000 is 170754.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 752697 + ... + 753303.

It is an arithmetic number, because the mean of its divisors is an integer number (11203920).

Almost surely, 2^457071000 is an apocalyptic number.

457071000 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 457071000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (717050880).

457071000 is an abundant number, since it is smaller than the sum of its proper divisors (977030760).

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

457071000 is a wasteful number, since it uses less digits than its factorization.

457071000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 882 (or 868 counting only the distinct ones).

The product of its (nonzero) digits is 980, while the sum is 24.

The square root of 457071000 is about 21379.2188818956. The cubic root of 457071000 is about 770.3023493582.

The spelling of 457071000 in words is "four hundred fifty-seven million, seventy-one thousand".