442362480 has 160 divisors (see below), whose sum is σ = 1589136384. Its totient is φ = 99698688.

The previous prime is 442362461. The next prime is 442362493. The reversal of 442362480 is 84263244.

It is a congruent number.

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, 120837 + ... + 124443.

Almost surely, 2^442362480 is an apocalyptic number.

442362480 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 442362480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (794568192).

442362480 is an abundant number, since it is smaller than the sum of its proper divisors (1146773904).

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

442362480 is a wasteful number, since it uses less digits than its factorization.

442362480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3703 (or 3697 counting only the distinct ones).

The product of its (nonzero) digits is 36864, while the sum is 33.

The square root of 442362480 is about 21032.4149825929. The cubic root of 442362480 is about 761.9493356413.

The spelling of 442362480 in words is "four hundred forty-two million, three hundred sixty-two thousand, four hundred eighty".