468882000 has 320 divisors, whose sum is σ = 1771910400. Its totient is φ = 118195200.

The previous prime is 468881989. The next prime is 468882031. The reversal of 468882000 is 288864.

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

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 63 ways as a sum of consecutive naturals, for example, 1025772 + ... + 1026228.

It is an arithmetic number, because the mean of its divisors is an integer number (5537220).

Almost surely, 2^468882000 is an apocalyptic number.

468882000 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 468882000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (885955200).

468882000 is an abundant number, since it is smaller than the sum of its proper divisors (1303028400).

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

468882000 is a wasteful number, since it uses less digits than its factorization.

468882000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 508 (or 486 counting only the distinct ones).

The product of its (nonzero) digits is 24576, while the sum is 36.

The square root of 468882000 is about 21653.6832894545. The cubic root of 468882000 is about 776.8810360346.

The spelling of 468882000 in words is "four hundred sixty-eight million, eight hundred eighty-two thousand".