413440400 has 30 divisors (see below), whose sum is σ = 993291522. Its totient is φ = 165376000.

The previous prime is 413440393. The next prime is 413440411. The reversal of 413440400 is 4044314.

It can be written as a sum of positive squares in 3 ways, for example, as 50176 + 413390224 = 224^2 + 20332^2 .

It is a Harshad number since it is a multiple of its sum of digits (20).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 516401 + ... + 517200.

Almost surely, 2^413440400 is an apocalyptic number.

413440400 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

413440400 is an abundant number, since it is smaller than the sum of its proper divisors (579851122).

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

413440400 is a wasteful number, since it uses less digits than its factorization.

413440400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1033619 (or 1033608 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 20.

The square root of 413440400 is about 20333.2338795382. The cubic root of 413440400 is about 744.9680331013.

Adding to 413440400 its reverse (4044314), we get a palindrome (417484714).

The spelling of 413440400 in words is "four hundred thirteen million, four hundred forty thousand, four hundred".