1461233960 has 32 divisors (see below), whose sum is σ = 3334089600. Its totient is φ = 576260160.

The previous prime is 1461233959. The next prime is 1461234013. The reversal of 1461233960 is 693321641.

It is a happy number.

It is a self number, because there is not a number n which added to its sum of digits gives 1461233960.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 254420 + ... + 260099.

It is an arithmetic number, because the mean of its divisors is an integer number (104190300).

Almost surely, 2^1461233960 is an apocalyptic number.

1461233960 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1461233960 is an abundant number, since it is smaller than the sum of its proper divisors (1872855640).

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

1461233960 is a wasteful number, since it uses less digits than its factorization.

1461233960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 514601 (or 514597 counting only the distinct ones).

The product of its (nonzero) digits is 23328, while the sum is 35.

The square root of 1461233960 is about 38226.0900433199. The cubic root of 1461233960 is about 1134.7667073412.

The spelling of 1461233960 in words is "one billion, four hundred sixty-one million, two hundred thirty-three thousand, nine hundred sixty".