409198761 has 12 divisors (see below), whose sum is σ = 592680192. Its totient is φ = 272053656.

The previous prime is 409198759. The next prime is 409198781. The reversal of 409198761 is 167891904.

409198761 = 3880² + 3881² + ... + 3906².

It is a happy number.

It is not a de Polignac number, because 409198761 - 2¹ = 409198759 is a prime.

It is not an unprimeable number, because it can be changed into a prime (409198711) by changing a digit.

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 11 ways as a sum of consecutive naturals, for example, 58641 + ... + 65246.

It is an arithmetic number, because the mean of its divisors is an integer number (49390016).

Almost surely, 2^409198761 is an apocalyptic number.

It is an amenable number.

409198761 is a deficient number, since it is larger than the sum of its proper divisors (183481431).

409198761 is a wasteful number, since it uses less digits than its factorization.

409198761 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 124260 (or 124257 counting only the distinct ones).

The product of its (nonzero) digits is 108864, while the sum is 45.

The square root of 409198761 is about 20228.6618687446. The cubic root of 409198761 is about 742.4116359149.

The spelling of 409198761 in words is "four hundred nine million, one hundred ninety-eight thousand, seven hundred sixty-one".