468047360 has 120 divisors (see below), whose sum is σ = 1234327248. Its totient is φ = 170086400.

The previous prime is 468047329. The next prime is 468047509. The reversal of 468047360 is 63740864.

It is a happy number.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 309005 + ... + 310515.

Almost surely, 2^468047360 is an apocalyptic number.

468047360 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 468047360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (617163624).

468047360 is an abundant number, since it is smaller than the sum of its proper divisors (766279888).

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

468047360 is a wasteful number, since it uses less digits than its factorization.

468047360 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1556 (or 1529 counting only the distinct ones).

The product of its (nonzero) digits is 96768, while the sum is 38.

The square root of 468047360 is about 21634.4022334799. The cubic root of 468047360 is about 776.4197962418.

The spelling of 468047360 in words is "four hundred sixty-eight million, forty-seven thousand, three hundred sixty".