468652860 has 288 divisors, whose sum is σ = 1643765760. Its totient is φ = 107122176.

The previous prime is 468652859. The next prime is 468652883. The reversal of 468652860 is 68256864.

468652860 is a `hidden beast` number, since 4 + 68 + 6 + 528 + 60 = 666.

It is a hoax number, since the sum of its digits (45) 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 (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 3690117 + ... + 3690243.

It is an arithmetic number, because the mean of its divisors is an integer number (5707520).

Almost surely, 2^468652860 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 468652860, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (821882880).

468652860 is an abundant number, since it is smaller than the sum of its proper divisors (1175112900).

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

468652860 is a wasteful number, since it uses less digits than its factorization.

468652860 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 257 (or 252 counting only the distinct ones).

The product of its (nonzero) digits is 552960, while the sum is 45.

The square root of 468652860 is about 21648.3916261694. The cubic root of 468652860 is about 776.7544629475.

The spelling of 468652860 in words is "four hundred sixty-eight million, six hundred fifty-two thousand, eight hundred sixty".