457425000 has 288 divisors, whose sum is σ = 1645207200. Its totient is φ = 114480000.

The previous prime is 457424999. The next prime is 457425029. The reversal of 457425000 is 524754.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 4274947 + ... + 4275053.

It is an arithmetic number, because the mean of its divisors is an integer number (5712525).

Almost surely, 2^457425000 is an apocalyptic number.

457425000 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 457425000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (822603600).

457425000 is an abundant number, since it is smaller than the sum of its proper divisors (1187782200).

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

457425000 is a wasteful number, since it uses less digits than its factorization.

457425000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 163 (or 136 counting only the distinct ones).

The product of its (nonzero) digits is 5600, while the sum is 27.

The square root of 457425000 is about 21387.4963471651. The cubic root of 457425000 is about 770.5011635931.

Adding to 457425000 its reverse (524754), we get a palindrome (457949754).

The spelling of 457425000 in words is "four hundred fifty-seven million, four hundred twenty-five thousand".