460677120 has 224 divisors, whose sum is σ = 1547603712. Its totient is φ = 116785152.

The previous prime is 460677109. The next prime is 460677137. The reversal of 460677120 is 21776064.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2826159 + ... + 2826321.

Almost surely, 2^460677120 is an apocalyptic number.

460677120 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 460677120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (773801856).

460677120 is an abundant number, since it is smaller than the sum of its proper divisors (1086926592).

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

460677120 is a wasteful number, since it uses less digits than its factorization.

460677120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 220 (or 196 counting only the distinct ones).

The product of its (nonzero) digits is 14112, while the sum is 33.

The square root of 460677120 is about 21463.3902261502. The cubic root of 460677120 is about 772.3228445578.

The spelling of 460677120 in words is "four hundred sixty million, six hundred seventy-seven thousand, one hundred twenty".