468465088 has 84 divisors (see below), whose sum is σ = 1164668232. Its totient is φ = 185310720.

The previous prime is 468465079. The next prime is 468465113. The reversal of 468465088 is 880564864.

It is a Harshad number since it is a multiple of its sum of digits (49).

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, 35023 + ... + 46513.

It is an arithmetic number, because the mean of its divisors is an integer number (13865098).

Almost surely, 2^468465088 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 468465088, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (582334116).

468465088 is an abundant number, since it is smaller than the sum of its proper divisors (696203144).

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

468465088 is a wasteful number, since it uses less digits than its factorization.

468465088 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11530 (or 11513 counting only the distinct ones).

The product of its (nonzero) digits is 1474560, while the sum is 49.

The square root of 468465088 is about 21644.0543336964. The cubic root of 468465088 is about 776.6507100882.

The spelling of 468465088 in words is "four hundred sixty-eight million, four hundred sixty-five thousand, eighty-eight".