468393144 has 32 divisors (see below), whose sum is σ = 1172603520. Its totient is φ = 155914976.

The previous prime is 468393139. The next prime is 468393151. The reversal of 468393144 is 441393864.

It is a hoax number, since the sum of its digits (42) coincides with the sum of the digits of its distinct prime factors.

It is a junction number, because it is equal to n+sod(n) for n = 468393096 and 468393105.

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 7 ways as a sum of consecutive naturals, for example, 4699 + ... + 30965.

It is an arithmetic number, because the mean of its divisors is an integer number (36643860).

Almost surely, 2^468393144 is an apocalyptic number.

It is an amenable number.

468393144 is an abundant number, since it is smaller than the sum of its proper divisors (704210376).

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

468393144 is a wasteful number, since it uses less digits than its factorization.

468393144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 27019 (or 27015 counting only the distinct ones).

The product of its digits is 248832, while the sum is 42.

The square root of 468393144 is about 21642.3922892087. The cubic root of 468393144 is about 776.6109502992.

The spelling of 468393144 in words is "four hundred sixty-eight million, three hundred ninety-three thousand, one hundred forty-four".