1460406456 has 64 divisors (see below), whose sum is σ = 4071290400. Its totient is φ = 485049600.

The previous prime is 1460406449. The next prime is 1460406457. The reversal of 1460406456 is 6546040641.

1460406456 is a `hidden beast` number, since 1 + 4 + 6 + 0 + 4 + 0 + 645 + 6 = 666.

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

It is a self number, because there is not a number n which added to its sum of digits gives 1460406456.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1460406457) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 48666 + ... + 72726.

Almost surely, 2^1460406456 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 1460406456, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2035645200).

1460406456 is an abundant number, since it is smaller than the sum of its proper divisors (2610883944).

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

1460406456 is a wasteful number, since it uses less digits than its factorization.

1460406456 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 24357 (or 24347 counting only the distinct ones).

The product of its (nonzero) digits is 69120, while the sum is 36.

The square root of 1460406456 is about 38215.2646988085. The cubic root of 1460406456 is about 1134.5524588981.

The spelling of 1460406456 in words is "one billion, four hundred sixty million, four hundred six thousand, four hundred fifty-six".