53330400 has 180 divisors, whose sum is σ = 194721912. Its totient is φ = 14204160.

The previous prime is 53330317. The next prime is 53330419. The reversal of 53330400 is 403335.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (180).

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 29 ways as a sum of consecutive naturals, for example, 64389 + ... + 65211.

Almost surely, 2^53330400 is an apocalyptic number.

53330400 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 53330400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (97360956).

53330400 is an abundant number, since it is smaller than the sum of its proper divisors (141391512).

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

53330400 is a wasteful number, since it uses less digits than its factorization.

53330400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 855 (or 833 counting only the distinct ones).

The product of its (nonzero) digits is 540, while the sum is 18.

The square root of 53330400 is about 7302.7665990363. The cubic root of 53330400 is about 376.4075104950.

Adding to 53330400 its reverse (403335), we get a palindrome (53733735).

The spelling of 53330400 in words is "fifty-three million, three hundred thirty thousand, four hundred".