42966000 has 480 divisors, whose sum is σ = 193130496. Its totient is φ = 8640000.

The previous prime is 42965999. The next prime is 42966013. The reversal of 42966000 is 66924.

42966000 = 10³ + 11³ + ... + 114³.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 1385985 + ... + 1386015.

Almost surely, 2^42966000 is an apocalyptic number.

42966000 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 42966000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (96565248).

42966000 is an abundant number, since it is smaller than the sum of its proper divisors (150164496).

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

42966000 is a wasteful number, since it uses less digits than its factorization.

42966000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 78 (or 59 counting only the distinct ones).

The product of its (nonzero) digits is 2592, while the sum is 27.

The square root of 42966000 is about 6554.8455359375. The cubic root of 42966000 is about 350.2474440676.

It can be divided in two parts, 4296 and 6000, that added together give a triangular number (10296 = T₁₄₃).

The spelling of 42966000 in words is "forty-two million, nine hundred sixty-six thousand".