468080000 has 80 divisors (see below), whose sum is σ = 1165455060. Its totient is φ = 187200000.

The previous prime is 468079993. The next prime is 468080017. The reversal of 468080000 is 80864.

It is a tau number, because it is divible by the number of its divisors (80).

It is a hoax number, since the sum of its digits (26) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 9 ways as a sum of consecutive naturals, for example, 77075 + ... + 82925.

Almost surely, 2^468080000 is an apocalyptic number.

468080000 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 468080000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (582727530).

468080000 is an abundant number, since it is smaller than the sum of its proper divisors (697375060).

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

468080000 is an frugal number, since it uses more digits than its factorization.

468080000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5885 (or 5858 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 26.

The square root of 468080000 is about 21635.1565744277. The cubic root of 468080000 is about 776.4378440971.

The spelling of 468080000 in words is "four hundred sixty-eight million, eighty thousand".