413640400 has 30 divisors (see below), whose sum is σ = 993772022. Its totient is φ = 165456000.

The previous prime is 413640371. The next prime is 413640433. The reversal of 413640400 is 4046314.

It is a happy number.

It can be written as a sum of positive squares in 3 ways, for example, as 80066704 + 333573696 = 8948^2 + 18264^2 .

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 516651 + ... + 517450.

Almost surely, 2^413640400 is an apocalyptic number.

413640400 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

413640400 is an abundant number, since it is smaller than the sum of its proper divisors (580131622).

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

413640400 is a wasteful number, since it uses less digits than its factorization.

413640400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1034119 (or 1034108 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 22.

The square root of 413640400 is about 20338.1513417518. The cubic root of 413640400 is about 745.0881387546.

Adding to 413640400 its reverse (4046314), we get a palindrome (417686714).

The spelling of 413640400 in words is "four hundred thirteen million, six hundred forty thousand, four hundred".