442373100 has 144 divisors (see below), whose sum is σ = 1423242240. Its totient is φ = 105350400.

The previous prime is 442373089. The next prime is 442373111. The reversal of 442373100 is 1373244.

It is an interprime number because it is at equal distance from previous prime (442373089) and next prime (442373111).

It is a super-2 number, since 2×442373100² = 391387919207220000, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 119071 + ... + 122729.

Almost surely, 2^442373100 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 442373100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (711621120).

442373100 is an abundant number, since it is smaller than the sum of its proper divisors (980869140).

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

442373100 is a wasteful number, since it uses less digits than its factorization.

442373100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3720 (or 3713 counting only the distinct ones).

The product of its (nonzero) digits is 2016, while the sum is 24.

The square root of 442373100 is about 21032.6674485192. The cubic root of 442373100 is about 761.9554330821.

The spelling of 442373100 in words is "four hundred forty-two million, three hundred seventy-three thousand, one hundred".