524212400 has 120 divisors (see below), whose sum is σ = 1303577280. Its totient is φ = 202475520.

The previous prime is 524212399. The next prime is 524212417. The reversal of 524212400 is 4212425.

It is a happy number.

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1674644 + ... + 1674956.

It is an arithmetic number, because the mean of its divisors is an integer number (10863144).

Almost surely, 2^524212400 is an apocalyptic number.

524212400 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 524212400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (651788640).

524212400 is an abundant number, since it is smaller than the sum of its proper divisors (779364880).

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

524212400 is a wasteful number, since it uses less digits than its factorization.

524212400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 463 (or 452 counting only the distinct ones).

The product of its (nonzero) digits is 640, while the sum is 20.

The square root of 524212400 is about 22895.6851830208. The cubic root of 524212400 is about 806.3107127327.

Adding to 524212400 its reverse (4212425), we get a palindrome (528424825).

The spelling of 524212400 in words is "five hundred twenty-four million, two hundred twelve thousand, four hundred".