460365672 has 128 divisors (see below), whose sum is σ = 1279152000. Its totient is φ = 137195520.

The previous prime is 460365641. The next prime is 460365679. The reversal of 460365672 is 276563064.

It is a super-3 number, since 3×460365672³ (a number of 27 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (39).

It is a self number, because there is not a number n which added to its sum of digits gives 460365672.

It is not an unprimeable number, because it can be changed into a prime (460365679) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1638172 + ... + 1638452.

It is an arithmetic number, because the mean of its divisors is an integer number (9993375).

Almost surely, 2^460365672 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 460365672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (639576000).

460365672 is an abundant number, since it is smaller than the sum of its proper divisors (818786328).

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

460365672 is a wasteful number, since it uses less digits than its factorization.

460365672 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 451 (or 447 counting only the distinct ones).

The product of its (nonzero) digits is 181440, while the sum is 39.

The square root of 460365672 is about 21456.1336684874. The cubic root of 460365672 is about 772.1487583256.

The spelling of 460365672 in words is "four hundred sixty million, three hundred sixty-five thousand, six hundred seventy-two".