52629444 has 72 divisors (see below), whose sum is σ = 156968448. Its totient is φ = 14549760.

The previous prime is 52629443. The next prime is 52629469. The reversal of 52629444 is 44492625.

52629444 is a `hidden beast` number, since 526 + 2 + 94 + 44 = 666.

It is a super-3 number, since 3×52629444³ (a number of 24 digits) contains 333 as substring.

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

It is a junction number, because it is equal to n+sod(n) for n = 52629399 and 52629408.

It is not an unprimeable number, because it can be changed into a prime (52629443) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 4444 + ... + 11180.

Almost surely, 2^52629444 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 52629444, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (78484224).

52629444 is an abundant number, since it is smaller than the sum of its proper divisors (104339004).

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

52629444 is a wasteful number, since it uses less digits than its factorization.

52629444 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6785 (or 6780 counting only the distinct ones).

The product of its digits is 69120, while the sum is 36.

The square root of 52629444 is about 7254.6153585149. The cubic root of 52629444 is about 374.7511095126.

It can be divided in two parts, 5262 and 9444, that added together give a triangular number (14706 = T₁₇₁).

The spelling of 52629444 in words is "fifty-two million, six hundred twenty-nine thousand, four hundred forty-four".