457072000 has 384 divisors, whose sum is σ = 1469314080. Its totient is φ = 139776000.

The previous prime is 457071973. The next prime is 457072003. The reversal of 457072000 is 270754.

It is a Harshad number since it is a multiple of its sum of digits (25).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (457072003) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 8623974 + ... + 8624026.

Almost surely, 2^457072000 is an apocalyptic number.

457072000 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 457072000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (734657040).

457072000 is an abundant number, since it is smaller than the sum of its proper divisors (1012242080).

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

457072000 is a wasteful number, since it uses less digits than its factorization.

457072000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 107 (or 78 counting only the distinct ones).

The product of its (nonzero) digits is 1960, while the sum is 25.

The square root of 457072000 is about 21379.2422690796. The cubic root of 457072000 is about 770.3029111249.

The spelling of 457072000 in words is "four hundred fifty-seven million, seventy-two thousand".