442997100 has 360 divisors, whose sum is σ = 1770351968. Its totient is φ = 93312000.

The previous prime is 442997081. The next prime is 442997111. The reversal of 442997100 is 1799244.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 736800 + ... + 737400.

Almost surely, 2^442997100 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 442997100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (885175984).

442997100 is an abundant number, since it is smaller than the sum of its proper divisors (1327354868).

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

442997100 is a wasteful number, since it uses less digits than its factorization.

442997100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 647 (or 631 counting only the distinct ones).

The product of its (nonzero) digits is 18144, while the sum is 36.

The square root of 442997100 is about 21047.4962881574. The cubic root of 442997100 is about 762.3135296059.

The spelling of 442997100 in words is "four hundred forty-two million, nine hundred ninety-seven thousand, one hundred".