442470000 has 400 divisors, whose sum is σ = 1704454400. Its totient is φ = 98784000.

The previous prime is 442469987. The next prime is 442470019. The reversal of 442470000 is 74244.

It is a tau number, because it is divible by the number of its divisors (400).

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 10289979 + ... + 10290021.

It is an arithmetic number, because the mean of its divisors is an integer number (4261136).

Almost surely, 2^442470000 is an apocalyptic number.

442470000 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 442470000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (852227200).

442470000 is an abundant number, since it is smaller than the sum of its proper divisors (1261984400).

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

442470000 is an equidigital number, since it uses as much as digits as its factorization.

442470000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 95 (or 60 counting only the distinct ones).

The product of its (nonzero) digits is 896, while the sum is 21.

The square root of 442470000 is about 21034.9708818434. The cubic root of 442470000 is about 762.0110634171.

The spelling of 442470000 in words is "four hundred forty-two million, four hundred seventy thousand".