1461314414 has 32 divisors (see below), whose sum is σ = 2550854592. Its totient is φ = 614880000.

The previous prime is 1461314411. The next prime is 1461314431. The reversal of 1461314414 is 4144131641.

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1461314411) 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, 597434 + ... + 599874.

It is an arithmetic number, because the mean of its divisors is an integer number (79714206).

Almost surely, 2^1461314414 is an apocalyptic number.

1461314414 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

1461314414 is a deficient number, since it is larger than the sum of its proper divisors (1089540178).

1461314414 is a wasteful number, since it uses less digits than its factorization.

1461314414 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3212.

The product of its digits is 4608, while the sum is 29.

The square root of 1461314414 is about 38227.1423729266. The cubic root of 1461314414 is about 1134.7875333115.

The spelling of 1461314414 in words is "one billion, four hundred sixty-one million, three hundred fourteen thousand, four hundred fourteen".