460245780 has 96 divisors (see below), whose sum is σ = 1453361280. Its totient is φ = 120890880.

The previous prime is 460245769. The next prime is 460245791. The reversal of 460245780 is 87542064.

460245780 is a `hidden beast` number, since 4 + 60 + 24 + 578 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (460245769) and next prime (460245791).

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

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 31 ways as a sum of consecutive naturals, for example, 29820 + ... + 42540.

It is an arithmetic number, because the mean of its divisors is an integer number (15139180).

Almost surely, 2^460245780 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 460245780, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (726680640).

460245780 is an abundant number, since it is smaller than the sum of its proper divisors (993115500).

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

460245780 is a wasteful number, since it uses less digits than its factorization.

460245780 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12806 (or 12798 counting only the distinct ones).

The product of its (nonzero) digits is 53760, while the sum is 36.

The square root of 460245780 is about 21453.3396001648. The cubic root of 460245780 is about 772.0817228492.

The spelling of 460245780 in words is "four hundred sixty million, two hundred forty-five thousand, seven hundred eighty".