442770240 has 224 divisors, whose sum is σ = 1601150976. Its totient is φ = 102615040.

The previous prime is 442770239. The next prime is 442770257. The reversal of 442770240 is 42077244.

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 = 442770198 and 442770207.

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, 241969 + ... + 243791.

Almost surely, 2^442770240 is an apocalyptic number.

442770240 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 442770240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (800575488).

442770240 is an abundant number, since it is smaller than the sum of its proper divisors (1158380736).

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

442770240 is a wasteful number, since it uses less digits than its factorization.

442770240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1877 (or 1867 counting only the distinct ones).

The product of its (nonzero) digits is 12544, while the sum is 30.

The square root of 442770240 is about 21042.1063584424. The cubic root of 442770240 is about 762.1833797874.

The spelling of 442770240 in words is "four hundred forty-two million, seven hundred seventy thousand, two hundred forty".