402616409 has 8 divisors (see below), whose sum is σ = 440695752. Its totient is φ = 365552640.

The previous prime is 402616397. The next prime is 402616421. The reversal of 402616409 is 904616204.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (402616397) and next prime (402616421).

It can be written as a sum of positive squares in 4 ways, for example, as 2496400 + 400120009 = 1580^2 + 20003^2 .

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 402616409 - 2²⁴ = 385839193 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (402610409) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 253064 + ... + 254649.

It is an arithmetic number, because the mean of its divisors is an integer number (55086969).

Almost surely, 2^402616409 is an apocalyptic number.

It is an amenable number.

402616409 is a deficient number, since it is larger than the sum of its proper divisors (38079343).

402616409 is a wasteful number, since it uses less digits than its factorization.

402616409 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 507787.

The product of its (nonzero) digits is 10368, while the sum is 32.

The square root of 402616409 is about 20065.3036109599. The cubic root of 402616409 is about 738.4092985696.

The spelling of 402616409 in words is "four hundred two million, six hundred sixteen thousand, four hundred nine".