442883364 has 72 divisors (see below), whose sum is σ = 1311414048. Its totient is φ = 115032960.

The previous prime is 442883347. The next prime is 442883381. The reversal of 442883364 is 463388244.

It is an interprime number because it is at equal distance from previous prime (442883347) and next prime (442883381).

It is a super-2 number, since 2×442883364² = 392291348215912992, which contains 22 as substring.

It is a hoax number, since the sum of its digits (42) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 27769 + ... + 40704.

It is an arithmetic number, because the mean of its divisors is an integer number (18214084).

Almost surely, 2^442883364 is an apocalyptic number.

442883364 is a gapful number since it is divisible by the number (44) formed by its first and last digit.

It is an amenable number.

442883364 is an abundant number, since it is smaller than the sum of its proper divisors (868530684).

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

442883364 is a wasteful number, since it uses less digits than its factorization.

442883364 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 68505 (or 68496 counting only the distinct ones).

The product of its digits is 442368, while the sum is 42.

The square root of 442883364 is about 21044.7942256512. The cubic root of 442883364 is about 762.2482846997.

The spelling of 442883364 in words is "four hundred forty-two million, eight hundred eighty-three thousand, three hundred sixty-four".