52406784 has 160 divisors (see below), whose sum is σ = 164989440. Its totient is φ = 16367616.

The previous prime is 52406759. The next prime is 52406813. The reversal of 52406784 is 48760425.

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 234897 + ... + 235119.

It is an arithmetic number, because the mean of its divisors is an integer number (1031184).

Almost surely, 2^52406784 is an apocalyptic number.

52406784 is a gapful number since it is divisible by the number (54) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 52406784, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (82494720).

52406784 is an abundant number, since it is smaller than the sum of its proper divisors (112582656).

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

52406784 is a wasteful number, since it uses less digits than its factorization.

52406784 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 267 (or 245 counting only the distinct ones).

The product of its (nonzero) digits is 53760, while the sum is 36.

The square root of 52406784 is about 7239.2530001375. The cubic root of 52406784 is about 374.2218745053.

The spelling of 52406784 in words is "fifty-two million, four hundred six thousand, seven hundred eighty-four".