442001400 has 96 divisors (see below), whose sum is σ = 1373416560. Its totient is φ = 117591040.

The previous prime is 442001381. The next prime is 442001407. The reversal of 442001400 is 4100244.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 442001400.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (442001407) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 463324 + ... + 464276.

Almost surely, 2^442001400 is an apocalyptic number.

442001400 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 442001400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (686708280).

442001400 is an abundant number, since it is smaller than the sum of its proper divisors (931415160).

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

442001400 is a wasteful number, since it uses less digits than its factorization.

442001400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1745 (or 1736 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 15.

The square root of 442001400 is about 21023.8293372069. The cubic root of 442001400 is about 761.7419645601.

Adding to 442001400 its reverse (4100244), we get a palindrome (446101644).

The spelling of 442001400 in words is "four hundred forty-two million, one thousand, four hundred".