460806624 has 192 divisors, whose sum is σ = 1439726400. Its totient is φ = 142884864.

The previous prime is 460806613. The next prime is 460806629. The reversal of 460806624 is 426608064.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (460806629) 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 31 ways as a sum of consecutive naturals, for example, 2012142 + ... + 2012370.

It is an arithmetic number, because the mean of its divisors is an integer number (7498575).

Almost surely, 2^460806624 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 460806624, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (719863200).

460806624 is an abundant number, since it is smaller than the sum of its proper divisors (978919776).

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

460806624 is a wasteful number, since it uses less digits than its factorization.

460806624 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 402 (or 388 counting only the distinct ones).

The product of its (nonzero) digits is 55296, while the sum is 36.

The square root of 460806624 is about 21466.4068721340. The cubic root of 460806624 is about 772.3952087094.

The spelling of 460806624 in words is "four hundred sixty million, eight hundred six thousand, six hundred twenty-four".