42673000 has 64 divisors (see below), whose sum is σ = 100900800. Its totient is φ = 16891200.

The previous prime is 42672979. The next prime is 42673021. The reversal of 42673000 is 37624.

42673000 = T₂₁ + T₂₂ + ... + T₆₃₄.

It is an interprime number because it is at equal distance from previous prime (42672979) and next prime (42673021).

It is a super-4 number, since 4×42673000⁴ (a number of 32 digits) contains 4444 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 138847 + ... + 139153.

It is an arithmetic number, because the mean of its divisors is an integer number (1576575).

Almost surely, 2^42673000 is an apocalyptic number.

42673000 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 42673000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (50450400).

42673000 is an abundant number, since it is smaller than the sum of its proper divisors (58227800).

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

42673000 is a wasteful number, since it uses less digits than its factorization.

42673000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 467 (or 453 counting only the distinct ones).

The product of its (nonzero) digits is 1008, while the sum is 22.

The square root of 42673000 is about 6532.4574242776. The cubic root of 42673000 is about 349.4494746525.

The spelling of 42673000 in words is "forty-two million, six hundred seventy-three thousand".