460380624 has 160 divisors (see below), whose sum is σ = 1338664320. Its totient is φ = 135168000.

The previous prime is 460380619. The next prime is 460380643. The reversal of 460380624 is 426083064.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is a congruent number.

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, 4558174 + ... + 4558274.

It is an arithmetic number, because the mean of its divisors is an integer number (8366652).

Almost surely, 2^460380624 is an apocalyptic number.

460380624 is a gapful number since it is divisible by the number (44) 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 460380624, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (669332160).

460380624 is an abundant number, since it is smaller than the sum of its proper divisors (878283696).

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

460380624 is a wasteful number, since it uses less digits than its factorization.

460380624 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 309 (or 303 counting only the distinct ones).

The product of its (nonzero) digits is 27648, while the sum is 33.

The square root of 460380624 is about 21456.4820974921. The cubic root of 460380624 is about 772.1571176539.

The spelling of 460380624 in words is "four hundred sixty million, three hundred eighty thousand, six hundred twenty-four".