442377936 has 600 divisors, whose sum is σ = 1787996672. Its totient is φ = 102643200.

The previous prime is 442377877. The next prime is 442377941. The reversal of 442377936 is 639773244.

It is a nude number because it is divisible by every one of its digits.

It is a junction number, because it is equal to n+sod(n) for n = 442377891 and 442377900.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 14270241 + ... + 14270271.

Almost surely, 2^442377936 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 442377936, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (893998336).

442377936 is an abundant number, since it is smaller than the sum of its proper divisors (1345618736).

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

442377936 is a wasteful number, since it uses less digits than its factorization.

442377936 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 93 (or 67 counting only the distinct ones).

The product of its digits is 762048, while the sum is 45.

The square root of 442377936 is about 21032.7824122250. The cubic root of 442377936 is about 761.9582096246.

The spelling of 442377936 in words is "four hundred forty-two million, three hundred seventy-seven thousand, nine hundred thirty-six".