468801190 has 48 divisors (see below), whose sum is σ = 998910864. Its totient is φ = 157354560.

The previous prime is 468801187. The next prime is 468801217. The reversal of 468801190 is 91108864.

It is a happy number.

It is a super-2 number, since 2×468801190² = 439549111490832200, which contains 22 as substring.

It is a Smith number, since the sum of its digits (37) coincides with the sum of the digits of its 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 (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 829 + ... + 30631.

It is an arithmetic number, because the mean of its divisors is an integer number (20810643).

Almost surely, 2^468801190 is an apocalyptic number.

468801190 is an abundant number, since it is smaller than the sum of its proper divisors (530109674).

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

468801190 is a wasteful number, since it uses less digits than its factorization.

468801190 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 29845 (or 29834 counting only the distinct ones).

The product of its (nonzero) digits is 13824, while the sum is 37.

The square root of 468801190 is about 21651.8172447488. The cubic root of 468801190 is about 776.8364026560.

The spelling of 468801190 in words is "four hundred sixty-eight million, eight hundred one thousand, one hundred ninety".