413690400 has 108 divisors (see below), whose sum is σ = 1458801162. Its totient is φ = 110315520.

The previous prime is 413690399. The next prime is 413690411. The reversal of 413690400 is 4096314.

It can be written as a sum of positive squares in 3 ways, for example, as 347300496 + 66389904 = 18636^2 + 8148^2 .

It is a super-2 number, since 2×413690400² = 342279494104320000, which contains 22 as substring.

It is a nialpdrome in base 12.

It is an unprimeable number.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 21529 + ... + 35928.

Almost surely, 2^413690400 is an apocalyptic number.

413690400 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

413690400 is an abundant number, since it is smaller than the sum of its proper divisors (1045110762).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

413690400 is a wasteful number, since it uses less digits than its factorization.

413690400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 57483 (or 57467 counting only the distinct ones).

The product of its (nonzero) digits is 2592, while the sum is 27.

The square root of 413690400 is about 20339.3805215400. The cubic root of 413690400 is about 745.1181591185.

The spelling of 413690400 in words is "four hundred thirteen million, six hundred ninety thousand, four hundred".