52006400 has 120 divisors (see below), whose sum is σ = 137000160. Its totient is φ = 19496960.

The previous prime is 52006397. The next prime is 52006429. The reversal of 52006400 is 460025.

It is a Harshad number since it is a multiple of its sum of digits (17).

It is a zygodrome in base 2.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 217481 + ... + 217719.

It is an arithmetic number, because the mean of its divisors is an integer number (1141668).

Almost surely, 2^52006400 is an apocalyptic number.

52006400 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 52006400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (68500080).

52006400 is an abundant number, since it is smaller than the sum of its proper divisors (84993760).

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

52006400 is a wasteful number, since it uses less digits than its factorization.

52006400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 284 (or 263 counting only the distinct ones).

The product of its (nonzero) digits is 240, while the sum is 17.

The square root of 52006400 is about 7211.5462974316. The cubic root of 52006400 is about 373.2664279198.

Adding to 52006400 its reverse (460025), we get a palindrome (52466425).

The spelling of 52006400 in words is "fifty-two million, six thousand, four hundred".