460359900000 has 2592 divisors, whose sum is σ = 2266898096736. Its totient is φ = 87091200000.

The previous prime is 460359899981. The next prime is 460359900031. The reversal of 460359900000 is 9953064.

460359900000 is a `hidden beast` number, since 4 + 60 + 3 + 599 + 0 + 0 + 0 + 0 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 431 ways as a sum of consecutive naturals, for example, 6306299964 + ... + 6306300036.

It is an arithmetic number, because the mean of its divisors is an integer number (874574883).

Almost surely, 2^460359900000 is an apocalyptic number.

460359900000 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 460359900000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1133449048368).

460359900000 is an abundant number, since it is smaller than the sum of its proper divisors (1806538196736).

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

460359900000 is a wasteful number, since it uses less digits than its factorization.

460359900000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 152 (or 114 counting only the distinct ones).

The product of its (nonzero) digits is 29160, while the sum is 36.

The spelling of 460359900000 in words is "four hundred sixty billion, three hundred fifty-nine million, nine hundred thousand".