468956088 has 64 divisors (see below), whose sum is σ = 1320544800. Its totient is φ = 154172160.

The previous prime is 468956077. The next prime is 468956107. The reversal of 468956088 is 880659864.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 898 + ... + 30638.

Almost surely, 2^468956088 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 468956088, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (660272400).

468956088 is an abundant number, since it is smaller than the sum of its proper divisors (851588712).

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

468956088 is a wasteful number, since it uses less digits than its factorization.

468956088 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 29829 (or 29819 counting only the distinct ones).

The product of its (nonzero) digits is 3317760, while the sum is 54.

The square root of 468956088 is about 21655.3939700944. The cubic root of 468956088 is about 776.9219521790.

The spelling of 468956088 in words is "four hundred sixty-eight million, nine hundred fifty-six thousand, eighty-eight".