460374921216 has 416 divisors, whose sum is σ = 1584467040000. Its totient is φ = 129366097920.

The previous prime is 460374921203. The next prime is 460374921239. The reversal of 460374921216 is 612129473064.

460374921216 is a `hidden beast` number, since 4 + 6 + 0 + 37 + 492 + 121 + 6 = 666.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 47217910 + ... + 47227658.

It is an arithmetic number, because the mean of its divisors is an integer number (3808815000).

Almost surely, 2^460374921216 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 460374921216, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (792233520000).

460374921216 is an abundant number, since it is smaller than the sum of its proper divisors (1124092118784).

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

460374921216 is an equidigital number, since it uses as much as digits as its factorization.

460374921216 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9850 (or 9822 counting only the distinct ones).

The product of its (nonzero) digits is 435456, while the sum is 45.

The spelling of 460374921216 in words is "four hundred sixty billion, three hundred seventy-four million, nine hundred twenty-one thousand, two hundred sixteen".