468961088 has 56 divisors (see below), whose sum is σ = 988847400. Its totient is φ = 220243968.

The previous prime is 468961069. The next prime is 468961091. The reversal of 468961088 is 880169864.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 173396224 + 295564864 = 13168^2 + 17192^2 .

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 65258 + ... + 72086.

Almost surely, 2^468961088 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 468961088, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (494423700).

468961088 is an abundant number, since it is smaller than the sum of its proper divisors (519886312).

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

468961088 is a wasteful number, since it uses less digits than its factorization.

468961088 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6907 (or 6897 counting only the distinct ones).

The product of its (nonzero) digits is 663552, while the sum is 50.

The square root of 468961088 is about 21655.5094144654. The cubic root of 468961088 is about 776.9247133444.

The spelling of 468961088 in words is "four hundred sixty-eight million, nine hundred sixty-one thousand, eighty-eight".