1461146415 has 32 divisors (see below), whose sum is σ = 2445037056. Its totient is φ = 743698560.

The previous prime is 1461146389. The next prime is 1461146419. The reversal of 1461146415 is 5146411641.

It is not a de Polignac number, because 1461146415 - 2⁵ = 1461146383 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1461146419) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 154452 + ... + 163638.

It is an arithmetic number, because the mean of its divisors is an integer number (76407408).

Almost surely, 2^1461146415 is an apocalyptic number.

1461146415 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

1461146415 is a deficient number, since it is larger than the sum of its proper divisors (983890641).

1461146415 is a wasteful number, since it uses less digits than its factorization.

1461146415 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9679.

The product of its digits is 11520, while the sum is 33.

The square root of 1461146415 is about 38224.9449312880. The cubic root of 1461146415 is about 1134.7440449572.

The spelling of 1461146415 in words is "one billion, four hundred sixty-one million, one hundred forty-six thousand, four hundred fifteen".