441642400 has 36 divisors (see below), whose sum is σ = 1078161462. Its totient is φ = 176656640.

The previous prime is 441642391. The next prime is 441642431. The reversal of 441642400 is 4246144.

It can be written as a sum of positive squares in 3 ways, for example, as 432473616 + 9168784 = 20796^2 + 3028^2 .

It is a Harshad number since it is a multiple of its sum of digits (25).

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, 275227 + ... + 276826.

Almost surely, 2^441642400 is an apocalyptic number.

441642400 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

441642400 is an abundant number, since it is smaller than the sum of its proper divisors (636519062).

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

441642400 is a wasteful number, since it uses less digits than its factorization.

441642400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 552073 (or 552060 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 25.

The square root of 441642400 is about 21015.2896720459. The cubic root of 441642400 is about 761.5356760459.

Adding to 441642400 its reverse (4246144), we get a palindrome (445888544).

It can be divided in two parts, 44164 and 2400, that added together give a palindrome (46564).

The spelling of 441642400 in words is "four hundred forty-one million, six hundred forty-two thousand, four hundred".