42486864 has 80 divisors (see below), whose sum is σ = 129515520. Its totient is φ = 11744640.

The previous prime is 42486817. The next prime is 42486877. The reversal of 42486864 is 46868424.

It is a super-2 number, since 2×42486864² = 3610267225108992, which contains 22 as substring.

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

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

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 8377 + ... + 12455.

It is an arithmetic number, because the mean of its divisors is an integer number (1618944).

Almost surely, 2^42486864 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 42486864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (64757760).

42486864 is an abundant number, since it is smaller than the sum of its proper divisors (87028656).

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

42486864 is a wasteful number, since it uses less digits than its factorization.

42486864 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4128 (or 4122 counting only the distinct ones).

The product of its digits is 294912, while the sum is 42.

The square root of 42486864 is about 6518.1948421323. The cubic root of 42486864 is about 348.9406444708.

The spelling of 42486864 in words is "forty-two million, four hundred eighty-six thousand, eight hundred sixty-four".