468394000 has 40 divisors (see below), whose sum is σ = 1132581528. Its totient is φ = 187356800.

The previous prime is 468393977. The next prime is 468394007. The reversal of 468394000 is 493864.

It can be written as a sum of positive squares in 4 ways, for example, as 84860944 + 383533056 = 9212^2 + 19584^2 .

It is a tau number, because it is divible by the number of its divisors (40).

It is not an unprimeable number, because it can be changed into a prime (468394007) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 115099 + ... + 119098.

Almost surely, 2^468394000 is an apocalyptic number.

468394000 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

468394000 is an abundant number, since it is smaller than the sum of its proper divisors (664187528).

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

468394000 is a wasteful number, since it uses less digits than its factorization.

468394000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 234220 (or 234204 counting only the distinct ones).

The product of its (nonzero) digits is 20736, while the sum is 34.

The square root of 468394000 is about 21642.4120652020. The cubic root of 468394000 is about 776.6114233908.

The spelling of 468394000 in words is "four hundred sixty-eight million, three hundred ninety-four thousand".