460151616 has 112 divisors (see below), whose sum is σ = 1287475200. Its totient is φ = 144748032.

The previous prime is 460151611. The next prime is 460151623. The reversal of 460151616 is 616151064.

460151616 is a nontrivial binomial coefficient, being equal to C(30337, 2).

It is a super-2 number, since 2×460151616² = 423479019414822912, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (460151611) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 348205 + ... + 349523.

Almost surely, 2^460151616 is an apocalyptic number.

460151616 is a gapful number since it is divisible by the number (46) formed by its first and last digit.

460151616 is the 30336-th triangular number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 460151616, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (643737600).

460151616 is an abundant number, since it is smaller than the sum of its proper divisors (827323584).

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

460151616 is a wasteful number, since it uses less digits than its factorization.

460151616 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1436 (or 1426 counting only the distinct ones).

The product of its (nonzero) digits is 4320, while the sum is 30.

The square root of 460151616 is about 21451.1448645521. The cubic root of 460151616 is about 772.0290645630.

It can be divided in two parts, 460 and 151616, that added together give a triangular number (152076 = T₅₅₁).

The spelling of 460151616 in words is "four hundred sixty million, one hundred fifty-one thousand, six hundred sixteen".