457600000 has 264 divisors, whose sum is σ = 1343257776. Its totient is φ = 153600000.

The previous prime is 457599983. The next prime is 457600007. The reversal of 457600000 is 6754.

It is a Harshad number since it is a multiple of its sum of digits (22).

It is not an unprimeable number, because it can be changed into a prime (457600007) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 35199994 + ... + 35200006.

Almost surely, 2^457600000 is an apocalyptic number.

457600000 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 457600000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (671628888).

457600000 is an abundant number, since it is smaller than the sum of its proper divisors (885657776).

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

457600000 is an equidigital number, since it uses as much as digits as its factorization.

457600000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 69 (or 31 counting only the distinct ones).

The product of its (nonzero) digits is 840, while the sum is 22.

The square root of 457600000 is about 21391.5871313935. The cubic root of 457600000 is about 770.5994095803.

Adding to 457600000 its reverse (6754), we get a palindrome (457606754).

The spelling of 457600000 in words is "four hundred fifty-seven million, six hundred thousand".