52416000 has 480 divisors, whose sum is σ = 232360128. Its totient is φ = 11059200.

The previous prime is 52415977. The next prime is 52416017. The reversal of 52416000 is 61425.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (480).

It is a Harshad number since it is a multiple of its sum of digits (18).

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 47 ways as a sum of consecutive naturals, for example, 4031994 + ... + 4032006.

Almost surely, 2^52416000 is an apocalyptic number.

52416000 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 52416000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (116180064).

52416000 is an abundant number, since it is smaller than the sum of its proper divisors (179944128).

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

52416000 is a wasteful number, since it uses less digits than its factorization.

52416000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 59 (or 30 counting only the distinct ones).

The product of its (nonzero) digits is 240, while the sum is 18.

The square root of 52416000 is about 7239.8895019192. The cubic root of 52416000 is about 374.2438094941.

Adding to 52416000 its reverse (61425), we get a palindrome (52477425).

The spelling of 52416000 in words is "fifty-two million, four hundred sixteen thousand".