53214400 has 84 divisors (see below), whose sum is σ = 132913120. Its totient is φ = 20966400.

The previous prime is 53214361. The next prime is 53214431. The reversal of 53214400 is 441235.

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, 126190 + ... + 126610.

Almost surely, 2^53214400 is an apocalyptic number.

53214400 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 53214400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (66456560).

53214400 is an abundant number, since it is smaller than the sum of its proper divisors (79698720).

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

53214400 is a wasteful number, since it uses less digits than its factorization.

53214400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 522 (or 507 counting only the distinct ones).

The product of its (nonzero) digits is 480, while the sum is 19.

The square root of 53214400 is about 7294.8200800294. The cubic root of 53214400 is about 376.1344019294.

Adding to 53214400 its reverse (441235), we get a palindrome (53655635).

The spelling of 53214400 in words is "fifty-three million, two hundred fourteen thousand, four hundred".