415444400 has 120 divisors (see below), whose sum is σ = 1190471424. Its totient is φ = 136224000.

The previous prime is 415444391. The next prime is 415444409. The reversal of 415444400 is 4444514.

It is an interprime number because it is at equal distance from previous prime (415444391) and next prime (415444409).

It is a self number, because there is not a number n which added to its sum of digits gives 415444400.

It is not an unprimeable number, because it can be changed into a prime (415444409) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 61175 + ... + 67625.

Almost surely, 2^415444400 is an apocalyptic number.

415444400 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 415444400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (595235712).

415444400 is an abundant number, since it is smaller than the sum of its proper divisors (775027024).

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

415444400 is a wasteful number, since it uses less digits than its factorization.

415444400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6499 (or 6488 counting only the distinct ones).

The product of its (nonzero) digits is 5120, while the sum is 26.

The square root of 415444400 is about 20382.4532380182. The cubic root of 415444400 is about 746.1697462486.

Adding to 415444400 its reverse (4444514), we get a palindrome (419888914).

The spelling of 415444400 in words is "four hundred fifteen million, four hundred forty-four thousand, four hundred".