457447000 has 64 divisors (see below), whose sum is σ = 1117022400. Its totient is φ = 175014400.

The previous prime is 457446971. The next prime is 457447007. The reversal of 457447000 is 744754.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (457447007) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 13056 + ... + 32944.

It is an arithmetic number, because the mean of its divisors is an integer number (17453475).

Almost surely, 2^457447000 is an apocalyptic number.

457447000 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 457447000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (558511200).

457447000 is an abundant number, since it is smaller than the sum of its proper divisors (659575400).

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

457447000 is a wasteful number, since it uses less digits than its factorization.

457447000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 19933 (or 19919 counting only the distinct ones).

The product of its (nonzero) digits is 15680, while the sum is 31.

The square root of 457447000 is about 21388.0106601806. The cubic root of 457447000 is about 770.5135158941.

The spelling of 457447000 in words is "four hundred fifty-seven million, four hundred forty-seven thousand".