52405220 has 96 divisors (see below), whose sum is σ = 135136512. Its totient is φ = 16662528.

The previous prime is 52405217. The next prime is 52405229. The reversal of 52405220 is 2250425.

52405220 = T₁ + T₂ + ... + T₆₇₉.

52405220 is a nontrivial binomial coefficient, being equal to C(681, 3).

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a junction number, because it is equal to n+sod(n) for n = 52405192 and 52405201.

It is not an unprimeable number, because it can be changed into a prime (52405229) by changing a digit.

It is the 679-th tetrahedral number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 230747 + ... + 230973.

It is an arithmetic number, because the mean of its divisors is an integer number (1407672).

Almost surely, 2^52405220 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 52405220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (67568256).

52405220 is an abundant number, since it is smaller than the sum of its proper divisors (82731292).

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

52405220 is a wasteful number, since it uses less digits than its factorization.

52405220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 357 (or 355 counting only the distinct ones).

The product of its (nonzero) digits is 800, while the sum is 20.

The square root of 52405220 is about 7239.1449771365. The cubic root of 52405220 is about 374.2181517759.

Adding to 52405220 its reverse (2250425), we get a palindrome (54655645).

It can be divided in two parts, 52405 and 220, that added together give a palindrome (52625).

The spelling of 52405220 in words is "fifty-two million, four hundred five thousand, two hundred twenty".