468111360 has 208 divisors, whose sum is σ = 1580535360. Its totient is φ = 117964800.

The previous prime is 468111353. The next prime is 468111361. The reversal of 468111360 is 63111864.

It is a super-2 number, since 2×468111360² = 438256490722099200, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (468111361) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1167160 + ... + 1167560.

Almost surely, 2^468111360 is an apocalyptic number.

468111360 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 468111360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (790267680).

468111360 is an abundant number, since it is smaller than the sum of its proper divisors (1112424000).

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

468111360 is a wasteful number, since it uses less digits than its factorization.

468111360 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 452 (or 430 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 30.

The square root of 468111360 is about 21635.8813086040. The cubic root of 468111360 is about 776.4551834031.

The spelling of 468111360 in words is "four hundred sixty-eight million, one hundred eleven thousand, three hundred sixty".