460377414 has 48 divisors (see below), whose sum is σ = 1150475040. Its totient is φ = 130325760.

The previous prime is 460377409. The next prime is 460377503. The reversal of 460377414 is 414773064.

It is a happy number.

460377414 is a `hidden beast` number, since 4 + 603 + 7 + 7 + 41 + 4 = 666.

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 3027 + ... + 30494.

It is an arithmetic number, because the mean of its divisors is an integer number (23968230).

Almost surely, 2^460377414 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 460377414, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (575237520).

460377414 is an abundant number, since it is smaller than the sum of its proper divisors (690097626).

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

460377414 is a wasteful number, since it uses less digits than its factorization.

460377414 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 33645 (or 33642 counting only the distinct ones).

The product of its (nonzero) digits is 56448, while the sum is 36.

The square root of 460377414 is about 21456.4072947919. The cubic root of 460377414 is about 772.1553230300.

The spelling of 460377414 in words is "four hundred sixty million, three hundred seventy-seven thousand, four hundred fourteen".