42683472 has 90 divisors (see below), whose sum is σ = 129500826. Its totient is φ = 13046400.

The previous prime is 42683441. The next prime is 42683479. The reversal of 42683472 is 27438624.

It can be written as a sum of positive squares in only one way, i.e., 29550096 + 13133376 = 5436^2 + 3624^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (42683479) by changing a digit.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 282597 + ... + 282747.

Almost surely, 2^42683472 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 42683472, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (64750413).

42683472 is an abundant number, since it is smaller than the sum of its proper divisors (86817354).

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

42683472 is a wasteful number, since it uses less digits than its factorization.

42683472 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 329 (or 169 counting only the distinct ones).

The product of its digits is 64512, while the sum is 36.

The square root of 42683472 is about 6533.2589111407. The cubic root of 42683472 is about 349.4780574066.

The spelling of 42683472 in words is "forty-two million, six hundred eighty-three thousand, four hundred seventy-two".