402516505 has 8 divisors (see below), whose sum is σ = 485812872. Its totient is φ = 320151168.

The previous prime is 402516487. The next prime is 402516523. The reversal of 402516505 is 505615204.

It is an interprime number because it is at equal distance from previous prime (402516487) and next prime (402516523).

It can be written as a sum of positive squares in 4 ways, for example, as 112529664 + 289986841 = 10608^2 + 17029^2 .

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 402516505 - 2¹⁷ = 402385433 is a prime.

It is a Duffinian number.

It is an unprimeable number.

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, 231804 + ... + 233533.

It is an arithmetic number, because the mean of its divisors is an integer number (60726609).

Almost surely, 2^402516505 is an apocalyptic number.

It is an amenable number.

402516505 is a deficient number, since it is larger than the sum of its proper divisors (83296367).

402516505 is a wasteful number, since it uses less digits than its factorization.

402516505 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 465515.

The product of its (nonzero) digits is 6000, while the sum is 28.

The square root of 402516505 is about 20062.8139850820. The cubic root of 402516505 is about 738.3482179782.

The spelling of 402516505 in words is "four hundred two million, five hundred sixteen thousand, five hundred five".