442147860 has 576 divisors, whose sum is σ = 1861816320. Its totient is φ = 82114560.

The previous prime is 442147831. The next prime is 442147877. The reversal of 442147860 is 68741244.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 6056784 + ... + 6056856.

It is an arithmetic number, because the mean of its divisors is an integer number (3232320).

Almost surely, 2^442147860 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 442147860, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (930908160).

442147860 is an abundant number, since it is smaller than the sum of its proper divisors (1419668460).

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

442147860 is a wasteful number, since it uses less digits than its factorization.

442147860 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 148 (or 143 counting only the distinct ones).

The product of its (nonzero) digits is 43008, while the sum is 36.

The square root of 442147860 is about 21027.3122390856. The cubic root of 442147860 is about 761.8260912980.

The spelling of 442147860 in words is "four hundred forty-two million, one hundred forty-seven thousand, eight hundred sixty".