42814600 has 72 divisors (see below), whose sum is σ = 105236010. Its totient is φ = 16197120.

The previous prime is 42814591. The next prime is 42814631. The reversal of 42814600 is 641824.

It can be written as a sum of positive squares in 3 ways, for example, as 33802596 + 9012004 = 5814^2 + 3002^2 .

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 71904 + ... + 72496.

Almost surely, 2^42814600 is an apocalyptic number.

42814600 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 42814600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (52618005).

42814600 is an abundant number, since it is smaller than the sum of its proper divisors (62421410).

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

42814600 is a wasteful number, since it uses less digits than its factorization.

42814600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 647 (or 619 counting only the distinct ones).

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

The square root of 42814600 is about 6543.2866359346. The cubic root of 42814600 is about 349.8355690205.

The spelling of 42814600 in words is "forty-two million, eight hundred fourteen thousand, six hundred".