42849864 has 128 divisors (see below), whose sum is σ = 128304000. Its totient is φ = 13208832.

The previous prime is 42849857. The next prime is 42849869. The reversal of 42849864 is 46894824.

It is a super-2 number, since 2×42849864² = 3672221689636992, which contains 22 as substring.

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (42849869) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 217414 + ... + 217610.

It is an arithmetic number, because the mean of its divisors is an integer number (1002375).

Almost surely, 2^42849864 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 42849864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (64152000).

42849864 is an abundant number, since it is smaller than the sum of its proper divisors (85454136).

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

42849864 is a wasteful number, since it uses less digits than its factorization.

42849864 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 284 (or 274 counting only the distinct ones).

The product of its digits is 442368, while the sum is 45.

The square root of 42849864 is about 6545.9807515757. The cubic root of 42849864 is about 349.9315893505.

The spelling of 42849864 in words is "forty-two million, eight hundred forty-nine thousand, eight hundred sixty-four".