468426864 has 80 divisors (see below), whose sum is σ = 1278362624. Its totient is φ = 147571200.

The previous prime is 468426853. The next prime is 468426899. The reversal of 468426864 is 468624864.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 60324 + ... + 67644.

Almost surely, 2^468426864 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 468426864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (639181312).

468426864 is an abundant number, since it is smaller than the sum of its proper divisors (809935760).

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

468426864 is a wasteful number, since it uses less digits than its factorization.

468426864 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7406 (or 7400 counting only the distinct ones).

The product of its digits is 1769472, while the sum is 48.

The square root of 468426864 is about 21643.1713018217. The cubic root of 468426864 is about 776.6295861347.

The spelling of 468426864 in words is "four hundred sixty-eight million, four hundred twenty-six thousand, eight hundred sixty-four".