468480000 has 260 divisors, whose sum is σ = 1586498408. Its totient is φ = 122880000.

The previous prime is 468479983. The next prime is 468480043. The reversal of 468480000 is 84864.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a self number, because there is not a number n which added to its sum of digits gives 468480000.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 7679970 + ... + 7680030.

Almost surely, 2^468480000 is an apocalyptic number.

468480000 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 468480000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (793249204).

468480000 is an abundant number, since it is smaller than the sum of its proper divisors (1118018408).

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

468480000 is an frugal number, since it uses more digits than its factorization.

468480000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 108 (or 71 counting only the distinct ones).

The product of its (nonzero) digits is 6144, while the sum is 30.

The square root of 468480000 is about 21644.3988135499. The cubic root of 468480000 is about 776.6589506828.

The spelling of 468480000 in words is "four hundred sixty-eight million, four hundred eighty thousand".