468895320 has 96 divisors (see below), whose sum is σ = 1527102720. Its totient is φ = 124776960.

The previous prime is 468895313. The next prime is 468895321. The reversal of 468895320 is 23598864.

It is a super-2 number, since 2×468895320² = 439725642235804800, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (468895321) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 221065 + ... + 223175.

It is an arithmetic number, because the mean of its divisors is an integer number (15907320).

Almost surely, 2^468895320 is an apocalyptic number.

468895320 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 468895320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (763551360).

468895320 is an abundant number, since it is smaller than the sum of its proper divisors (1058207400).

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

468895320 is a wasteful number, since it uses less digits than its factorization.

468895320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2745 (or 2738 counting only the distinct ones).

The product of its (nonzero) digits is 414720, while the sum is 45.

The square root of 468895320 is about 21653.9908561909. The cubic root of 468895320 is about 776.8883925105. Note that the first 3 decimals are identical.

The spelling of 468895320 in words is "four hundred sixty-eight million, eight hundred ninety-five thousand, three hundred twenty".