442135980 has 288 divisors, whose sum is σ = 1601570880. Its totient is φ = 97320960.

The previous prime is 442135973. The next prime is 442135987. The reversal of 442135980 is 89531244.

442135980 is a `hidden beast` number, since 44 + 21 + 3 + 598 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (442135973) and next prime (442135987).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (442135987) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 2290764 + ... + 2290956.

It is an arithmetic number, because the mean of its divisors is an integer number (5561010).

Almost surely, 2^442135980 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 442135980, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (800785440).

442135980 is an abundant number, since it is smaller than the sum of its proper divisors (1159434900).

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

442135980 is a wasteful number, since it uses less digits than its factorization.

442135980 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 321 (or 316 counting only the distinct ones).

The product of its (nonzero) digits is 34560, while the sum is 36.

The square root of 442135980 is about 21027.0297474465. The cubic root of 442135980 is about 761.8192681092.

It can be divided in two parts, 4421 and 35980, that added together give a square (40401 = 201²).

The spelling of 442135980 in words is "four hundred forty-two million, one hundred thirty-five thousand, nine hundred eighty".