1461678407 has 8 divisors (see below), whose sum is σ = 1670879232. Its totient is φ = 1252575000.

The previous prime is 1461678319. The next prime is 1461678419. The reversal of 1461678407 is 7048761641.

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 1461678407 - 2²⁸ = 1193242951 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 (1461678487) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 11282 + ... + 55232.

It is an arithmetic number, because the mean of its divisors is an integer number (208859904).

Almost surely, 2^1461678407 is an apocalyptic number.

1461678407 is a deficient number, since it is larger than the sum of its proper divisors (209200825).

1461678407 is an equidigital number, since it uses as much as digits as its factorization.

1461678407 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 48709.

The product of its (nonzero) digits is 225792, while the sum is 44.

The square root of 1461678407 is about 38231.9029999816. The cubic root of 1461678407 is about 1134.8817453953.

The spelling of 1461678407 in words is "one billion, four hundred sixty-one million, six hundred seventy-eight thousand, four hundred seven".