442013760 has 140 divisors (see below), whose sum is σ = 1572412908. Its totient is φ = 117863424.

The previous prime is 442013749. The next prime is 442013791. The reversal of 442013760 is 67310244.

It can be written as a sum of positive squares in 2 ways, for example, as 160579584 + 281434176 = 12672^2 + 16776^2 .

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

It is an unprimeable number.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 17394 + ... + 34446.

Almost surely, 2^442013760 is an apocalyptic number.

442013760 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 442013760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (786206454).

442013760 is an abundant number, since it is smaller than the sum of its proper divisors (1130399148).

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

442013760 is a wasteful number, since it uses less digits than its factorization.

442013760 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 17082 (or 17063 counting only the distinct ones).

The product of its (nonzero) digits is 4032, while the sum is 27.

The square root of 442013760 is about 21024.1232873097. The cubic root of 442013760 is about 761.7490648716.

It can be divided in two parts, 44201 and 3760, that added together give a square (47961 = 219²).

The spelling of 442013760 in words is "four hundred forty-two million, thirteen thousand, seven hundred sixty".