460612600 has 48 divisors (see below), whose sum is σ = 1223917200. Its totient is φ = 157923840.

The previous prime is 460612591. The next prime is 460612609. The reversal of 460612600 is 6216064.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (460612591) and next prime (460612609).

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 (460612609) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 163105 + ... + 165904.

It is an arithmetic number, because the mean of its divisors is an integer number (25498275).

Almost surely, 2^460612600 is an apocalyptic number.

460612600 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

460612600 is an abundant number, since it is smaller than the sum of its proper divisors (763304600).

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

460612600 is a wasteful number, since it uses less digits than its factorization.

460612600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 329032 (or 329023 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 25.

The square root of 460612600 is about 21461.8871490836. The cubic root of 460612600 is about 772.2867870574.

Adding to 460612600 its reverse (6216064), we get a palindrome (466828664).

The spelling of 460612600 in words is "four hundred sixty million, six hundred twelve thousand, six hundred".