442861000 has 32 divisors (see below), whose sum is σ = 1036297080. Its totient is φ = 177144000.

The previous prime is 442860991. The next prime is 442861007. The reversal of 442861000 is 168244.

It can be written as a sum of positive squares in 4 ways, for example, as 116769636 + 326091364 = 10806^2 + 18058^2 .

It is a super-2 number, since 2×442861000² = 392251730642000000, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (25).

It is not an unprimeable number, because it can be changed into a prime (442861007) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 220431 + ... + 222430.

Almost surely, 2^442861000 is an apocalyptic number.

442861000 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

442861000 is an abundant number, since it is smaller than the sum of its proper divisors (593436080).

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

442861000 is a wasteful number, since it uses less digits than its factorization.

442861000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 442882 (or 442868 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 25.

The square root of 442861000 is about 21044.2628761380. The cubic root of 442861000 is about 762.2354542279.

The spelling of 442861000 in words is "four hundred forty-two million, eight hundred sixty-one thousand".