442494360 has 512 divisors, whose sum is σ = 1953331200. Its totient is φ = 86261760.

The previous prime is 442494317. The next prime is 442494361. The reversal of 442494360 is 63494244.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (442494361) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 1413564 + ... + 1413876.

It is an arithmetic number, because the mean of its divisors is an integer number (3815100).

Almost surely, 2^442494360 is an apocalyptic number.

442494360 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 442494360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (976665600).

442494360 is an abundant number, since it is smaller than the sum of its proper divisors (1510836840).

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

442494360 is a wasteful number, since it uses less digits than its factorization.

442494360 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 368 (or 358 counting only the distinct ones).

The product of its (nonzero) digits is 82944, while the sum is 36.

The square root of 442494360 is about 21035.5499096173. The cubic root of 442494360 is about 762.0250472268.

The spelling of 442494360 in words is "four hundred forty-two million, four hundred ninety-four thousand, three hundred sixty".