460125600 has 288 divisors, whose sum is σ = 1693016640. Its totient is φ = 107520000.

The previous prime is 460125577. The next prime is 460125607. The reversal of 460125600 is 6521064.

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

It is not an unprimeable number, because it can be changed into a prime (460125607) 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, 765300 + ... + 765900.

It is an arithmetic number, because the mean of its divisors is an integer number (5878530).

Almost surely, 2^460125600 is an apocalyptic number.

460125600 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 460125600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (846508320).

460125600 is an abundant number, since it is smaller than the sum of its proper divisors (1232891040).

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

460125600 is a wasteful number, since it uses less digits than its factorization.

460125600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 664 (or 651 counting only the distinct ones).

The product of its (nonzero) digits is 1440, while the sum is 24.

The square root of 460125600 is about 21450.5384547801. The cubic root of 460125600 is about 772.0145146582.

Adding to 460125600 its reverse (6521064), we get a palindrome (466646664).

The spelling of 460125600 in words is "four hundred sixty million, one hundred twenty-five thousand, six hundred".