468272000 has 256 divisors, whose sum is σ = 1378615680. Its totient is φ = 154828800.

The previous prime is 468271981. The next prime is 468272017. The reversal of 468272000 is 272864.

It is a hoax number, since the sum of its digits (29) 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 pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 4143944 + ... + 4144056.

Almost surely, 2^468272000 is an apocalyptic number.

468272000 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 468272000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (689307840).

468272000 is an abundant number, since it is smaller than the sum of its proper divisors (910343680).

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

468272000 is a wasteful number, since it uses less digits than its factorization.

468272000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 186 (or 164 counting only the distinct ones).

The product of its (nonzero) digits is 5376, while the sum is 29.

The square root of 468272000 is about 21639.5933418352. The cubic root of 468272000 is about 776.5439909721.

The spelling of 468272000 in words is "four hundred sixty-eight million, two hundred seventy-two thousand".