1461112407 has 24 divisors (see below), whose sum is σ = 2223930800. Its totient is φ = 921829248.

The previous prime is 1461112363. The next prime is 1461112441. The reversal of 1461112407 is 7042111641.

1461112407 is a `hidden beast` number, since 1 + 4 + 611 + 1 + 2 + 40 + 7 = 666.

It is not a de Polignac number, because 1461112407 - 2⁸ = 1461112151 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1461112507) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 178803 + ... + 186795.

Almost surely, 2^1461112407 is an apocalyptic number.

1461112407 is a deficient number, since it is larger than the sum of its proper divisors (762818393).

1461112407 is a wasteful number, since it uses less digits than its factorization.

With its successor (1461112408) it forms a Ruth-Aaron pair, since the sum of their distinct prime factors is the same (9084).

With its successor (1461112408) it forms an eRAP, since the sums of their prime factors are consecutive (9087 and 9088).

1461112407 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9087 (or 9084 counting only the distinct ones).

The product of its (nonzero) digits is 1344, while the sum is 27.

The square root of 1461112407 is about 38224.5000882942. The cubic root of 1461112407 is about 1134.7352412137.

The spelling of 1461112407 in words is "one billion, four hundred sixty-one million, one hundred twelve thousand, four hundred seven".