468462736 has 45 divisors (see below), whose sum is σ = 1057201401. Its totient is φ = 200510016.

The previous prime is 468462733. The next prime is 468462739. The reversal of 468462736 is 637264864.

The square root of 468462736 is 21644.

It is a perfect power (a square), and thus also a powerful number.

It is an interprime number because it is at equal distance from previous prime (468462733) and next prime (468462739).

It can be written as a sum of positive squares in only one way, i.e., 29811600 + 438651136 = 5460^2 + 20944^2 .

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (468462733) by changing a digit.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 605646 + ... + 606418.

Almost surely, 2^468462736 is an apocalyptic number.

468462736 is the 21644-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 468462736

468462736 is an abundant number, since it is smaller than the sum of its proper divisors (588738665).

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

468462736 is an frugal number, since it uses more digits than its factorization.

468462736 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1568 (or 782 counting only the distinct ones).

The product of its digits is 1161216, while the sum is 46.

The cubic root of 468462736 is about 776.6494103219.

The spelling of 468462736 in words is "four hundred sixty-eight million, four hundred sixty-two thousand, seven hundred thirty-six".