52400832 has 112 divisors (see below), whose sum is σ = 155033472. Its totient is φ = 15482880.

The previous prime is 52400827. The next prime is 52400833. The reversal of 52400832 is 23800425.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (52400833) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 90528 + ... + 91104.

Almost surely, 2^52400832 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 52400832, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (77516736).

52400832 is an abundant number, since it is smaller than the sum of its proper divisors (102632640).

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

52400832 is a wasteful number, since it uses less digits than its factorization.

52400832 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 646 (or 636 counting only the distinct ones).

The product of its (nonzero) digits is 1920, while the sum is 24.

The square root of 52400832 is about 7238.8418963257. The cubic root of 52400832 is about 374.2077067917.

The spelling of 52400832 in words is "fifty-two million, four hundred thousand, eight hundred thirty-two".