442737440 has 48 divisors (see below), whose sum is σ = 1047453120. Its totient is φ = 176843520.

The previous prime is 442737413. The next prime is 442737467. The reversal of 442737440 is 44737244.

It is an interprime number because it is at equal distance from previous prime (442737413) and next prime (442737467).

It is a self number, because there is not a number n which added to its sum of digits gives 442737440.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 145535 + ... + 148545.

It is an arithmetic number, because the mean of its divisors is an integer number (21821940).

Almost surely, 2^442737440 is an apocalyptic number.

442737440 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

442737440 is an abundant number, since it is smaller than the sum of its proper divisors (604715680).

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

442737440 is a wasteful number, since it uses less digits than its factorization.

442737440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3945 (or 3937 counting only the distinct ones).

The product of its (nonzero) digits is 75264, while the sum is 35.

The square root of 442737440 is about 21041.3269543534. The cubic root of 442737440 is about 762.1645587151.

The spelling of 442737440 in words is "four hundred forty-two million, seven hundred thirty-seven thousand, four hundred forty".