442703040 has 224 divisors, whose sum is σ = 1594225920. Its totient is φ = 103182336.

The previous prime is 442702957. The next prime is 442703071. The reversal of 442703040 is 40307244.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a self number, because there is not a number n which added to its sum of digits gives 442703040.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 236187 + ... + 238053.

It is an arithmetic number, because the mean of its divisors is an integer number (7117080).

Almost surely, 2^442703040 is an apocalyptic number.

442703040 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 442703040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (797112960).

442703040 is an abundant number, since it is smaller than the sum of its proper divisors (1151522880).

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

442703040 is a wasteful number, since it uses less digits than its factorization.

442703040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1919 (or 1909 counting only the distinct ones).

The product of its (nonzero) digits is 2688, while the sum is 24.

The square root of 442703040 is about 21040.5094995345. The cubic root of 442703040 is about 762.1448185429.

The spelling of 442703040 in words is "four hundred forty-two million, seven hundred three thousand, forty".