52424400 has 180 divisors, whose sum is σ = 194383392. Its totient is φ = 11831040.

The previous prime is 52424389. The next prime is 52424419. The reversal of 52424400 is 442425.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 663561 + ... + 663639.

Almost surely, 2^52424400 is an apocalyptic number.

52424400 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 52424400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (97191696).

52424400 is an abundant number, since it is smaller than the sum of its proper divisors (141958992).

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

52424400 is a wasteful number, since it uses less digits than its factorization.

52424400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 186 (or 96 counting only the distinct ones).

The product of its (nonzero) digits is 1280, while the sum is 21.

The square root of 52424400 is about 7240.4695980302. The cubic root of 52424400 is about 374.2638000827.

Multiplying 52424400 by its sum of digits (21), we get a square (1100912400 = 33180²).

52424400 divided by its sum of digits (21) gives a square (2496400 = 1580²).

Adding to 52424400 its reverse (442425), we get a palindrome (52866825).

The spelling of 52424400 in words is "fifty-two million, four hundred twenty-four thousand, four hundred".