442024400 has 30 divisors (see below), whose sum is σ = 1061964582. Its totient is φ = 176809600.

The previous prime is 442024369. The next prime is 442024423. The reversal of 442024400 is 4420244.

It can be written as a sum of positive squares in 3 ways, for example, as 51724864 + 390299536 = 7192^2 + 19756^2 .

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

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, 552131 + ... + 552930.

Almost surely, 2^442024400 is an apocalyptic number.

442024400 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

442024400 is an abundant number, since it is smaller than the sum of its proper divisors (619940182).

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

442024400 is a wasteful number, since it uses less digits than its factorization.

442024400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1105079 (or 1105068 counting only the distinct ones).

The product of its (nonzero) digits is 1024, while the sum is 20.

The square root of 442024400 is about 21024.3763284431. The cubic root of 442024400 is about 761.7551770079.

Adding to 442024400 its reverse (4420244), we get a palindrome (446444644).

442024400 divided by its reverse (4420244) gives a square (100 = 10²).

The spelling of 442024400 in words is "four hundred forty-two million, twenty-four thousand, four hundred".