1461337398 has 48 divisors (see below), whose sum is σ = 3209287536. Its totient is φ = 480522240.

The previous prime is 1461337393. The next prime is 1461337399. The reversal of 1461337398 is 8937331641.

1461337398 is a `hidden beast` number, since 1 + 461 + 33 + 73 + 98 = 666.

It is a hoax number, since the sum of its digits (45) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1461337393) 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 23 ways as a sum of consecutive naturals, for example, 615153 + ... + 617523.

It is an arithmetic number, because the mean of its divisors is an integer number (66860157).

Almost surely, 2^1461337398 is an apocalyptic number.

1461337398 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

1461337398 is an abundant number, since it is smaller than the sum of its proper divisors (1747950138).

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

1461337398 is a wasteful number, since it uses less digits than its factorization.

1461337398 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2829 (or 2826 counting only the distinct ones).

The product of its digits is 326592, while the sum is 45.

The square root of 1461337398 is about 38227.4429958374. The cubic root of 1461337398 is about 1134.7934827088.

The spelling of 1461337398 in words is "one billion, four hundred sixty-one million, three hundred thirty-seven thousand, three hundred ninety-eight".