460922000 has 320 divisors, whose sum is σ = 1442907648. Its totient is φ = 138240000.

The previous prime is 460921961. The next prime is 460922023. The reversal of 460922000 is 229064.

460922000 is digitally balanced in base 6, because in such base it contains all the possibile digits an equal number of times.

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, 6313964 + ... + 6314036.

Almost surely, 2^460922000 is an apocalyptic number.

460922000 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 460922000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (721453824).

460922000 is an abundant number, since it is smaller than the sum of its proper divisors (981985648).

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

460922000 is a wasteful number, since it uses less digits than its factorization.

460922000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 155 (or 139 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 23.

The square root of 460922000 is about 21469.0940656563. The cubic root of 460922000 is about 772.4596670081.

The spelling of 460922000 in words is "four hundred sixty million, nine hundred twenty-two thousand".