42074784 has 36 divisors (see below), whose sum is σ = 119650986. Its totient is φ = 14024832.

The previous prime is 42074777. The next prime is 42074789. The reversal of 42074784 is 48747024.

It can be written as a sum of positive squares in only one way, i.e., 22467600 + 19607184 = 4740^2 + 4428^2 .

It is a tau number, because it is divible by the number of its divisors (36).

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

It is not an unprimeable number, because it can be changed into a prime (42074789) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 72759 + ... + 73334.

Almost surely, 2^42074784 is an apocalyptic number.

It is an amenable number.

42074784 is an abundant number, since it is smaller than the sum of its proper divisors (77576202).

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

42074784 is a wasteful number, since it uses less digits than its factorization.

42074784 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 146109 (or 146098 counting only the distinct ones).

The product of its (nonzero) digits is 50176, while the sum is 36.

The square root of 42074784 is about 6486.5078432081. The cubic root of 42074784 is about 347.8088526171.

The spelling of 42074784 in words is "forty-two million, seventy-four thousand, seven hundred eighty-four".