442911744 has 264 divisors, whose sum is σ = 1482977808. Its totient is φ = 125829120.

The previous prime is 442911701. The next prime is 442911757. The reversal of 442911744 is 447119244.

It is a tau number, because it is divible by the number of its divisors (264).

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

It is a junction number, because it is equal to n+sod(n) for n = 442911699 and 442911708.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1723264 + ... + 1723520.

Almost surely, 2^442911744 is an apocalyptic number.

442911744 is a gapful number since it is divisible by the number (44) 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 442911744, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (741488904).

442911744 is an abundant number, since it is smaller than the sum of its proper divisors (1040066064).

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

442911744 is a wasteful number, since it uses less digits than its factorization.

442911744 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 311 (or 290 counting only the distinct ones).

The product of its digits is 32256, while the sum is 36.

The square root of 442911744 is about 21045.4684908652. The cubic root of 442911744 is about 762.2645659948.

The spelling of 442911744 in words is "four hundred forty-two million, nine hundred eleven thousand, seven hundred forty-four".