442024128 has 280 divisors, whose sum is σ = 1614395552. Its totient is φ = 116453376.

The previous prime is 442024091. The next prime is 442024159. The reversal of 442024128 is 821420244.

442024128 is a `hidden beast` number, since 44 + 202 + 412 + 8 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 471276 + ... + 472212.

Almost surely, 2^442024128 is an apocalyptic number.

442024128 is a gapful number since it is divisible by the number (48) 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 442024128, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (807197776).

442024128 is an abundant number, since it is smaller than the sum of its proper divisors (1172371424).

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

442024128 is a wasteful number, since it uses less digits than its factorization.

442024128 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 981 (or 962 counting only the distinct ones).

The product of its (nonzero) digits is 4096, while the sum is 27.

The square root of 442024128 is about 21024.3698597604. The cubic root of 442024128 is about 761.7550207590.

The spelling of 442024128 in words is "four hundred forty-two million, twenty-four thousand, one hundred twenty-eight".