442266240 has 384 divisors, whose sum is σ = 1612742400. Its totient is φ = 102875136.

The previous prime is 442266239. The next prime is 442266257. The reversal of 442266240 is 42662244.

It is a tau number, because it is divible by the number of its divisors (384).

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 442266198 and 442266207.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 9409897 + ... + 9409943.

It is an arithmetic number, because the mean of its divisors is an integer number (4199850).

Almost surely, 2^442266240 is an apocalyptic number.

442266240 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 442266240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (806371200).

442266240 is an abundant number, since it is smaller than the sum of its proper divisors (1170476160).

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

442266240 is a wasteful number, since it uses less digits than its factorization.

442266240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 124 (or 99 counting only the distinct ones).

The product of its (nonzero) digits is 18432, while the sum is 30.

The square root of 442266240 is about 21030.1269611004. The cubic root of 442266240 is about 761.8940752866.

The spelling of 442266240 in words is "four hundred forty-two million, two hundred sixty-six thousand, two hundred forty".