460380240 has 80 divisors (see below), whose sum is σ = 1585761600. Its totient is φ = 122767488.

The previous prime is 460380229. The next prime is 460380251. The reversal of 460380240 is 42083064.

460380240 is a `hidden beast` number, since 46 + 0 + 380 + 240 = 666.

It is an interprime number because it is at equal distance from previous prime (460380229) and next prime (460380251).

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 (27).

It is a congruent number.

It is an unprimeable number.

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, 104410 + ... + 108729.

It is an arithmetic number, because the mean of its divisors is an integer number (19822020).

Almost surely, 2^460380240 is an apocalyptic number.

460380240 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

460380240 is an abundant number, since it is smaller than the sum of its proper divisors (1125381360).

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

460380240 is a wasteful number, since it uses less digits than its factorization.

460380240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 213161 (or 213149 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 27.

The square root of 460380240 is about 21456.4731491455. The cubic root of 460380240 is about 772.1569029703.

The spelling of 460380240 in words is "four hundred sixty million, three hundred eighty thousand, two hundred forty".