442250172 has 192 divisors, whose sum is σ = 1494743040. Its totient is φ = 109734912.

The previous prime is 442250147. The next prime is 442250177. The reversal of 442250172 is 271052244.

442250172 is a `hidden beast` number, since 442 + 2 + 50 + 172 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (442250177) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 165753 + ... + 168399.

It is an arithmetic number, because the mean of its divisors is an integer number (7785120).

Almost surely, 2^442250172 is an apocalyptic number.

442250172 is a gapful number since it is divisible by the number (42) 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 442250172, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (747371520).

442250172 is an abundant number, since it is smaller than the sum of its proper divisors (1052492868).

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

442250172 is a wasteful number, since it uses less digits than its factorization.

442250172 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2697 (or 2689 counting only the distinct ones).

The product of its (nonzero) digits is 4480, while the sum is 27.

The square root of 442250172 is about 21029.7449342592. The cubic root of 442250172 is about 761.8848483692.

The spelling of 442250172 in words is "four hundred forty-two million, two hundred fifty thousand, one hundred seventy-two".