460249920 has 336 divisors, whose sum is σ = 1797344640. Its totient is φ = 107163648.

The previous prime is 460249879. The next prime is 460249957. The reversal of 460249920 is 29942064.

460249920 is a `hidden beast` number, since 4 + 602 + 49 + 9 + 2 + 0 = 666.

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

It is a zygodrome in base 8.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 711037 + ... + 711683.

It is an arithmetic number, because the mean of its divisors is an integer number (5349240).

Almost surely, 2^460249920 is an apocalyptic number.

460249920 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 460249920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (898672320).

460249920 is an abundant number, since it is smaller than the sum of its proper divisors (1337094720).

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

460249920 is a wasteful number, since it uses less digits than its factorization.

460249920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 702 (or 689 counting only the distinct ones).

The product of its (nonzero) digits is 31104, while the sum is 36.

The square root of 460249920 is about 21453.4360884218. The cubic root of 460249920 is about 772.0840378506.

The spelling of 460249920 in words is "four hundred sixty million, two hundred forty-nine thousand, nine hundred twenty".