1461943353 has 48 divisors (see below), whose sum is σ = 2284376640. Its totient is φ = 824411520.

The previous prime is 1461943349. The next prime is 1461943367. The reversal of 1461943353 is 3533491641.

It is a happy number.

It is not a de Polignac number, because 1461943353 - 2² = 1461943349 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (39).

It is not an unprimeable number, because it can be changed into a prime (1461943253) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 711075 + ... + 713127.

It is an arithmetic number, because the mean of its divisors is an integer number (47591180).

Almost surely, 2^1461943353 is an apocalyptic number.

1461943353 is a gapful number since it is divisible by the number (13) formed by its first and last digit.

It is an amenable number.

1461943353 is a deficient number, since it is larger than the sum of its proper divisors (822433287).

1461943353 is a wasteful number, since it uses less digits than its factorization.

1461943353 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2150 (or 2119 counting only the distinct ones).

The product of its digits is 116640, while the sum is 39.

The square root of 1461943353 is about 38235.3678287525. The cubic root of 1461943353 is about 1134.9503113699.

The spelling of 1461943353 in words is "one billion, four hundred sixty-one million, nine hundred forty-three thousand, three hundred fifty-three".