402100413 has 32 divisors (see below), whose sum is σ = 632768640. Its totient is φ = 223914240.

The previous prime is 402100403. The next prime is 402100459. The reversal of 402100413 is 314001204.

It is not a de Polignac number, because 402100413 - 2¹⁴ = 402084029 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 402100392 and 402100401.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (402100403) 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 31 ways as a sum of consecutive naturals, for example, 96195 + ... + 100287.

It is an arithmetic number, because the mean of its divisors is an integer number (19774020).

Almost surely, 2^402100413 is an apocalyptic number.

It is an amenable number.

402100413 is a deficient number, since it is larger than the sum of its proper divisors (230668227).

402100413 is a wasteful number, since it uses less digits than its factorization.

402100413 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4349.

The product of its (nonzero) digits is 96, while the sum is 15.

The square root of 402100413 is about 20052.4415720381. The cubic root of 402100413 is about 738.0937135421.

Adding to 402100413 its reverse (314001204), we get a palindrome (716101617).

The spelling of 402100413 in words is "four hundred two million, one hundred thousand, four hundred thirteen".