442406153 has 12 divisors (see below), whose sum is σ = 517620420. Its totient is φ = 377006112.

The previous prime is 442406149. The next prime is 442406161. The reversal of 442406153 is 351604244.

It can be written as a sum of positive squares in 2 ways, for example, as 163916809 + 278489344 = 12803^2 + 16688^2 .

It is not a de Polignac number, because 442406153 - 2² = 442406149 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (442406123) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 17618 + ... + 34571.

It is an arithmetic number, because the mean of its divisors is an integer number (43135035).

Almost surely, 2^442406153 is an apocalyptic number.

It is an amenable number.

442406153 is a deficient number, since it is larger than the sum of its proper divisors (75214267).

442406153 is a wasteful number, since it uses less digits than its factorization.

442406153 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 52376 (or 52369 counting only the distinct ones).

The product of its (nonzero) digits is 11520, while the sum is 29.

The square root of 442406153 is about 21033.4531877198. The cubic root of 442406153 is about 761.9744097376.

The spelling of 442406153 in words is "four hundred forty-two million, four hundred six thousand, one hundred fifty-three".