460938000 has 160 divisors (see below), whose sum is σ = 1573827840. Its totient is φ = 115660800.

The previous prime is 460937999. The next prime is 460938019. The reversal of 460938000 is 839064.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 99741 + ... + 104259.

It is an arithmetic number, because the mean of its divisors is an integer number (9836424).

Almost surely, 2^460938000 is an apocalyptic number.

460938000 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 460938000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (786913920).

460938000 is an abundant number, since it is smaller than the sum of its proper divisors (1112889840).

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

460938000 is a wasteful number, since it uses less digits than its factorization.

460938000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4562 (or 4546 counting only the distinct ones).

The product of its (nonzero) digits is 5184, while the sum is 30.

The square root of 460938000 is about 21469.4666910941. The cubic root of 460938000 is about 772.4686050437.

The spelling of 460938000 in words is "four hundred sixty million, nine hundred thirty-eight thousand".