52004400 has 240 divisors, whose sum is σ = 196320768. Its totient is φ = 11520000.

The previous prime is 52004399. The next prime is 52004413. The reversal of 52004400 is 440025.

It is a tau number, because it is divible by the number of its divisors (240).

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a zygodrome in base 2.

It is a self number, because there is not a number n which added to its sum of digits gives 52004400.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 344325 + ... + 344475.

Almost surely, 2^52004400 is an apocalyptic number.

52004400 is a gapful number since it is divisible by the number (50) 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 52004400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (98160384).

52004400 is an abundant number, since it is smaller than the sum of its proper divisors (144316368).

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

52004400 is a wasteful number, since it uses less digits than its factorization.

52004400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 220 (or 209 counting only the distinct ones).

The product of its (nonzero) digits is 160, while the sum is 15.

The square root of 52004400 is about 7211.4076295825. The cubic root of 52004400 is about 373.2616429804.

Adding to 52004400 its reverse (440025), we get a palindrome (52444425).

The spelling of 52004400 in words is "fifty-two million, four thousand, four hundred".