842424264 has 72 divisors (see below), whose sum is σ = 2507862630. Its totient is φ = 255277440.

The previous prime is 842424257. The next prime is 842424269. The reversal of 842424264 is 462424248.

It is a happy number.

It can be written as a sum of positive squares in only one way, i.e., 786802500 + 55621764 = 28050^2 + 7458^2 .

It is a tau number, because it is divible by the number of its divisors (72).

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 not an unprimeable number, because it can be changed into a prime (842424269) 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, 39637 + ... + 57060.

Almost surely, 2^842424264 is an apocalyptic number.

It is an amenable number.

842424264 is an abundant number, since it is smaller than the sum of its proper divisors (1665438366).

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

842424264 is a wasteful number, since it uses less digits than its factorization.

842424264 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 96731 (or 96713 counting only the distinct ones).

The product of its digits is 98304, while the sum is 36.

The square root of 842424264 is about 29024.5458879205. The cubic root of 842424264 is about 944.4456175590.

The spelling of 842424264 in words is "eight hundred forty-two million, four hundred twenty-four thousand, two hundred sixty-four".