460349280 has 72 divisors (see below), whose sum is σ = 1570946832. Its totient is φ = 122759424.

The previous prime is 460349261. The next prime is 460349297. The reversal of 460349280 is 82943064.

It is a happy number.

460349280 is a `hidden beast` number, since 4 + 603 + 49 + 2 + 8 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (72).

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 158404 + ... + 161283.

It is an arithmetic number, because the mean of its divisors is an integer number (21818706).

Almost surely, 2^460349280 is an apocalyptic number.

460349280 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

460349280 is an abundant number, since it is smaller than the sum of its proper divisors (1110597552).

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

460349280 is a wasteful number, since it uses less digits than its factorization.

460349280 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 319708 (or 319697 counting only the distinct ones).

The product of its (nonzero) digits is 41472, while the sum is 36.

The square root of 460349280 is about 21455.7516764153. The cubic root of 460349280 is about 772.1395937177.

The spelling of 460349280 in words is "four hundred sixty million, three hundred forty-nine thousand, two hundred eighty".