468204480 has 336 divisors, whose sum is σ = 1741712544. Its totient is φ = 115015680.

The previous prime is 468204467. The next prime is 468204521. The reversal of 468204480 is 84402864.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 3574015 + ... + 3574145.

Almost surely, 2^468204480 is an apocalyptic number.

468204480 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 468204480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (870856272).

468204480 is an abundant number, since it is smaller than the sum of its proper divisors (1273508064).

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

468204480 is a wasteful number, since it uses less digits than its factorization.

468204480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 244 (or 231 counting only the distinct ones).

The product of its (nonzero) digits is 49152, while the sum is 36.

The square root of 468204480 is about 21638.0331823389. The cubic root of 468204480 is about 776.5066659626.

The spelling of 468204480 in words is "four hundred sixty-eight million, two hundred four thousand, four hundred eighty".