442419040 has 72 divisors (see below), whose sum is σ = 1215883872. Its totient is φ = 151683840.

The previous prime is 442419017. The next prime is 442419059. The reversal of 442419040 is 40914244.

It is a Harshad number since it is a multiple of its sum of digits (28).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 20376 + ... + 36055.

It is an arithmetic number, because the mean of its divisors is an integer number (16887276).

Almost surely, 2^442419040 is an apocalyptic number.

442419040 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

442419040 is an abundant number, since it is smaller than the sum of its proper divisors (773464832).

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

442419040 is a wasteful number, since it uses less digits than its factorization.

442419040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 56460 (or 56445 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 28.

The square root of 442419040 is about 21033.7595308114. The cubic root of 442419040 is about 761.9818082701.

The spelling of 442419040 in words is "four hundred forty-two million, four hundred nineteen thousand, forty".