456103601460 has 240 divisors, whose sum is σ = 1542684439296. Its totient is φ = 112139935488.

The previous prime is 456103601419. The next prime is 456103601497. The reversal of 456103601460 is 64106301654.

It is a happy number.

456103601460 is a `hidden beast` number, since 4 + 5 + 6 + 1 + 0 + 3 + 601 + 46 + 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 79 ways as a sum of consecutive naturals, for example, 18583717 + ... + 18608243.

Almost surely, 2^456103601460 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 456103601460, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (771342219648).

456103601460 is an abundant number, since it is smaller than the sum of its proper divisors (1086580837836).

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

456103601460 is a wasteful number, since it uses less digits than its factorization.

456103601460 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 25444 (or 25433 counting only the distinct ones).

The product of its (nonzero) digits is 51840, while the sum is 36.

The spelling of 456103601460 in words is "four hundred fifty-six billion, one hundred three million, six hundred one thousand, four hundred sixty".