42964416 has 84 divisors (see below), whose sum is σ = 134364984. Its totient is φ = 13017600.

The previous prime is 42964409. The next prime is 42964417. The reversal of 42964416 is 61446924.

42964416 is a `hidden beast` number, since 4 + 2 + 9 + 644 + 1 + 6 = 666.

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

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (42964417) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 2946 + ... + 9726.

Almost surely, 2^42964416 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 42964416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (67182492).

42964416 is an abundant number, since it is smaller than the sum of its proper divisors (91400568).

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

42964416 is a wasteful number, since it uses less digits than its factorization.

42964416 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6810 (or 6797 counting only the distinct ones).

The product of its digits is 41472, while the sum is 36.

The square root of 42964416 is about 6554.7247081781. The cubic root of 42964416 is about 350.2431398987.

The spelling of 42964416 in words is "forty-two million, nine hundred sixty-four thousand, four hundred sixteen".