460626000 has 80 divisors (see below), whose sum is σ = 1485077568. Its totient is φ = 122832000.

The previous prime is 460625989. The next prime is 460626007. The reversal of 460626000 is 626064.

It is a tau number, because it is divible by the number of its divisors (80).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (460626007) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 32386 + ... + 44385.

Almost surely, 2^460626000 is an apocalyptic number.

460626000 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

460626000 is an abundant number, since it is smaller than the sum of its proper divisors (1024451568).

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

460626000 is a wasteful number, since it uses less digits than its factorization.

460626000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 76797 (or 76781 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 24.

The square root of 460626000 is about 21462.1993281211. The cubic root of 460626000 is about 772.2942760279.

The spelling of 460626000 in words is "four hundred sixty million, six hundred twenty-six thousand".