460124640 has 144 divisors (see below), whose sum is σ = 1580106528. Its totient is φ = 121924608.

The previous prime is 460124627. The next prime is 460124681. The reversal of 460124640 is 46421064.

460124640 is a `hidden beast` number, since 4 + 6 + 0 + 12 + 4 + 640 = 666.

It is a tau number, because it is divible by the number of its divisors (144).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 248197 + ... + 250043.

It is an arithmetic number, because the mean of its divisors is an integer number (10972962).

Almost surely, 2^460124640 is an apocalyptic number.

460124640 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 460124640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (790053264).

460124640 is an abundant number, since it is smaller than the sum of its proper divisors (1119981888).

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

460124640 is a wasteful number, since it uses less digits than its factorization.

460124640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2041 (or 2030 counting only the distinct ones).

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

The square root of 460124640 is about 21450.5160777078. The cubic root of 460124640 is about 772.0139777508.

It can be divided in two parts, 4601 and 24640, that added together give a square (29241 = 171²).

The spelling of 460124640 in words is "four hundred sixty million, one hundred twenty-four thousand, six hundred forty".