402400413 has 32 divisors (see below), whose sum is σ = 604800000. Its totient is φ = 264406896.

The previous prime is 402400399. The next prime is 402400441. The reversal of 402400413 is 314004204.

It is not a de Polignac number, because 402400413 - 2¹⁴ = 402384029 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (402400913) 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 31 ways as a sum of consecutive naturals, for example, 671488 + ... + 672086.

It is an arithmetic number, because the mean of its divisors is an integer number (18900000).

Almost surely, 2^402400413 is an apocalyptic number.

It is an amenable number.

402400413 is a deficient number, since it is larger than the sum of its proper divisors (202399587).

402400413 is a wasteful number, since it uses less digits than its factorization.

402400413 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 926 (or 920 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 18.

The square root of 402400413 is about 20059.9205631528. The cubic root of 402400413 is about 738.2772274621.

Adding to 402400413 its reverse (314004204), we get a palindrome (716404617).

The spelling of 402400413 in words is "four hundred two million, four hundred thousand, four hundred thirteen".