460798103700 has 216 divisors, whose sum is σ = 1577725269120. Its totient is φ = 111561523200.

The previous prime is 460798103663. The next prime is 460798103713. The reversal of 460798103700 is 7301897064.

460798103700 is a `hidden beast` number, since 4 + 607 + 9 + 8 + 1 + 0 + 37 + 0 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

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 71 ways as a sum of consecutive naturals, for example, 7582837 + ... + 7643363.

Almost surely, 2^460798103700 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 460798103700, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (788862634560).

460798103700 is an abundant number, since it is smaller than the sum of its proper divisors (1116927165420).

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

460798103700 is a wasteful number, since it uses less digits than its factorization.

460798103700 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 61327 (or 61317 counting only the distinct ones).

The product of its (nonzero) digits is 254016, while the sum is 45.

The spelling of 460798103700 in words is "four hundred sixty billion, seven hundred ninety-eight million, one hundred three thousand, seven hundred".