442251264 has 288 divisors, whose sum is σ = 1490121360. Its totient is φ = 115605504.

The previous prime is 442251263. The next prime is 442251287. The reversal of 442251264 is 462152244.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (442251263) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 3913672 + ... + 3913784.

Almost surely, 2^442251264 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 442251264, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (745060680).

442251264 is an abundant number, since it is smaller than the sum of its proper divisors (1047870096).

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

442251264 is a wasteful number, since it uses less digits than its factorization.

442251264 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 165 (or 138 counting only the distinct ones).

The product of its digits is 15360, while the sum is 30.

The square root of 442251264 is about 21029.7708974682. The cubic root of 442251264 is about 761.8854754483.

The spelling of 442251264 in words is "four hundred forty-two million, two hundred fifty-one thousand, two hundred sixty-four".