42400736 has 48 divisors (see below), whose sum is σ = 96745824. Its totient is φ = 17915904.

The previous prime is 42400733. The next prime is 42400741. The reversal of 42400736 is 63700424.

It is a happy number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (42400733) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 15056 + ... + 17648.

It is an arithmetic number, because the mean of its divisors is an integer number (2015538).

Almost surely, 2^42400736 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 42400736, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (48372912).

42400736 is an abundant number, since it is smaller than the sum of its proper divisors (54345088).

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

42400736 is a wasteful number, since it uses less digits than its factorization.

42400736 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2683 (or 2675 counting only the distinct ones).

The product of its (nonzero) digits is 4032, while the sum is 26.

The square root of 42400736 is about 6511.5847533454. The cubic root of 42400736 is about 348.7046978921.

The spelling of 42400736 in words is "forty-two million, four hundred thousand, seven hundred thirty-six".