460890612 has 144 divisors (see below), whose sum is σ = 1441964160. Its totient is φ = 120870144.

The previous prime is 460890589. The next prime is 460890659. The reversal of 460890612 is 216098064.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 880983 + ... + 881505.

It is an arithmetic number, because the mean of its divisors is an integer number (10013640).

Almost surely, 2^460890612 is an apocalyptic number.

460890612 is a gapful number since it is divisible by the number (42) 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 460890612, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (720982080).

460890612 is an abundant number, since it is smaller than the sum of its proper divisors (981073548).

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

460890612 is a wasteful number, since it uses less digits than its factorization.

460890612 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 822 (or 817 counting only the distinct ones).

The product of its (nonzero) digits is 20736, while the sum is 36.

The square root of 460890612 is about 21468.3630489146. The cubic root of 460890612 is about 772.4421322160.

The spelling of 460890612 in words is "four hundred sixty million, eight hundred ninety thousand, six hundred twelve".