460889173632 has 192 divisors, whose sum is σ = 1316461131360. Its totient is φ = 142795560960.

The previous prime is 460889173621. The next prime is 460889173643. The reversal of 460889173632 is 236371988064.

It is an interprime number because it is at equal distance from previous prime (460889173621) and next prime (460889173643).

It is a tau number, because it is divible by the number of its divisors (192).

It is a Harshad number since it is a multiple of its sum of digits (57).

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, 7315707 + ... + 7378437.

Almost surely, 2^460889173632 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 460889173632, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (658230565680).

460889173632 is an abundant number, since it is smaller than the sum of its proper divisors (855571957728).

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

460889173632 is a wasteful number, since it uses less digits than its factorization.

460889173632 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 62839 (or 62808 counting only the distinct ones).

The product of its (nonzero) digits is 10450944, while the sum is 57.

The spelling of 460889173632 in words is "four hundred sixty billion, eight hundred eighty-nine million, one hundred seventy-three thousand, six hundred thirty-two".