442350000 has 180 divisors, whose sum is σ = 1548932112. Its totient is φ = 117840000.

The previous prime is 442349989. The next prime is 442350019. The reversal of 442350000 is 53244.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (180).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 449509 + ... + 450491.

Almost surely, 2^442350000 is an apocalyptic number.

442350000 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 442350000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (774466056).

442350000 is an abundant number, since it is smaller than the sum of its proper divisors (1106582112).

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

442350000 is an equidigital number, since it uses as much as digits as its factorization.

442350000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1022 (or 993 counting only the distinct ones).

The product of its (nonzero) digits is 480, while the sum is 18.

The square root of 442350000 is about 21032.1182955973. The cubic root of 442350000 is about 761.9421701623.

The spelling of 442350000 in words is "four hundred forty-two million, three hundred fifty thousand".