442191264 has 48 divisors (see below), whose sum is σ = 1162123200. Its totient is φ = 147223040.

The previous prime is 442191263. The next prime is 442191271. The reversal of 442191264 is 462191244.

It is a tau number, because it is divible by the number of its divisors (48).

It is a super-2 number, since 2×442191264² = 391066227915835392, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (442191263) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 98509 + ... + 102899.

It is an arithmetic number, because the mean of its divisors is an integer number (24210900).

Almost surely, 2^442191264 is an apocalyptic number.

It is an amenable number.

442191264 is an abundant number, since it is smaller than the sum of its proper divisors (719931936).

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

442191264 is a wasteful number, since it uses less digits than its factorization.

442191264 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5453 (or 5445 counting only the distinct ones).

The product of its digits is 13824, while the sum is 33.

The square root of 442191264 is about 21028.3443000156. The cubic root of 442191264 is about 761.8510190207.

The spelling of 442191264 in words is "four hundred forty-two million, one hundred ninety-one thousand, two hundred sixty-four".