460741446000 has 1600 divisors, whose sum is σ = 1959607862784. Its totient is φ = 103099392000.

The previous prime is 460741445951. The next prime is 460741446013. The reversal of 460741446000 is 644147064.

460741446000 is a `hidden beast` number, since 4 + 6 + 0 + 7 + 4 + 1 + 44 + 600 + 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 pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 319 ways as a sum of consecutive naturals, for example, 2029697887 + ... + 2029698113.

Almost surely, 2^460741446000 is an apocalyptic number.

460741446000 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 460741446000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (979803931392).

460741446000 is an abundant number, since it is smaller than the sum of its proper divisors (1498866416784).

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

460741446000 is a wasteful number, since it uses less digits than its factorization.

460741446000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 357 (or 332 counting only the distinct ones).

The product of its (nonzero) digits is 64512, while the sum is 36.

The spelling of 460741446000 in words is "four hundred sixty billion, seven hundred forty-one million, four hundred forty-six thousand".