460531600 has 135 divisors (see below), whose sum is σ = 1177702617. Its totient is φ = 173053440.

The previous prime is 460531597. The next prime is 460531601. The reversal of 460531600 is 6135064.

The square root of 460531600 is 21460.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in 13 ways, for example, as 86341264 + 374190336 = 9292^2 + 19344^2 .

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

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (460531601) by changing a digit.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 12446782 + ... + 12446818.

Almost surely, 2^460531600 is an apocalyptic number.

460531600 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

460531600 is the 21460-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 460531600

460531600 is an abundant number, since it is smaller than the sum of its proper divisors (717171017).

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

460531600 is a wasteful number, since it uses less digits than its factorization.

460531600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 150 (or 73 counting only the distinct ones).

The product of its (nonzero) digits is 2160, while the sum is 25.

The cubic root of 460531600 is about 772.2415148142.

Multiplying 460531600 by its sum of digits (25), we get a square (11513290000 = 107300²).

460531600 divided by its sum of digits (25) gives a square (18421264 = 4292²).

Adding to 460531600 its reverse (6135064), we get a palindrome (466666664).

The spelling of 460531600 in words is "four hundred sixty million, five hundred thirty-one thousand, six hundred".