442505401 has 16 divisors (see below), whose sum is σ = 483243264. Its totient is φ = 402764544.

The previous prime is 442505387. The next prime is 442505431. The reversal of 442505401 is 104505244.

It is a happy number.

It is not a de Polignac number, because 442505401 - 2¹⁷ = 442374329 is a prime.

It is a super-2 number, since 2×442505401² = 391622059828341602, which contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (442505431) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 332800 + ... + 334126.

It is an arithmetic number, because the mean of its divisors is an integer number (30202704).

Almost surely, 2^442505401 is an apocalyptic number.

It is an amenable number.

442505401 is a deficient number, since it is larger than the sum of its proper divisors (40737863).

442505401 is a wasteful number, since it uses less digits than its factorization.

442505401 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1680.

The product of its (nonzero) digits is 3200, while the sum is 25.

The square root of 442505401 is about 21035.8123446659. The cubic root of 442505401 is about 762.0313851219.

The spelling of 442505401 in words is "four hundred forty-two million, five hundred five thousand, four hundred one".