468688360 has 64 divisors (see below), whose sum is σ = 1208747520. Its totient is φ = 160220160.

The previous prime is 468688357. The next prime is 468688369. The reversal of 468688360 is 63886864.

It is not an unprimeable number, because it can be changed into a prime (468688369) 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, 100480 + ... + 105040.

It is an arithmetic number, because the mean of its divisors is an integer number (18886680).

Almost surely, 2^468688360 is an apocalyptic number.

468688360 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 468688360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (604373760).

468688360 is an abundant number, since it is smaller than the sum of its proper divisors (740059160).

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

468688360 is a wasteful number, since it uses less digits than its factorization.

468688360 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4946 (or 4942 counting only the distinct ones).

The product of its (nonzero) digits is 1327104, while the sum is 49.

The square root of 468688360 is about 21649.2115329866. The cubic root of 468688360 is about 776.7740752516.

The spelling of 468688360 in words is "four hundred sixty-eight million, six hundred eighty-eight thousand, three hundred sixty".