442150520 has 192 divisors, whose sum is σ = 1260748800. Its totient is φ = 138620160.

The previous prime is 442150517. The next prime is 442150529. The reversal of 442150520 is 25051244.

It is a happy number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (442150529) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1154249 + ... + 1154631.

It is an arithmetic number, because the mean of its divisors is an integer number (6566400).

Almost surely, 2^442150520 is an apocalyptic number.

442150520 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 442150520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (630374400).

442150520 is an abundant number, since it is smaller than the sum of its proper divisors (818598280).

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

442150520 is a wasteful number, since it uses less digits than its factorization.

442150520 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 458 (or 447 counting only the distinct ones).

The product of its (nonzero) digits is 1600, while the sum is 23.

The square root of 442150520 is about 21027.3754900606. The cubic root of 442150520 is about 761.8276190323.

The spelling of 442150520 in words is "four hundred forty-two million, one hundred fifty thousand, five hundred twenty".