53419200 has 168 divisors, whose sum is σ = 181416960. Its totient is φ = 13747200.

The previous prime is 53419183. The next prime is 53419207. The reversal of 53419200 is 291435.

It is a super-2 number, since 2×53419200² = 5707221857280000, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is not an unprimeable number, because it can be changed into a prime (53419207) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 148621 + ... + 148979.

Almost surely, 2^53419200 is an apocalyptic number.

53419200 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 53419200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (90708480).

53419200 is an abundant number, since it is smaller than the sum of its proper divisors (127997760).

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

53419200 is a wasteful number, since it uses less digits than its factorization.

53419200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 415 (or 400 counting only the distinct ones).

The product of its (nonzero) digits is 1080, while the sum is 24.

The square root of 53419200 is about 7308.8439578363. The cubic root of 53419200 is about 376.6163123053.

It can be divided in two parts, 5341 and 9200, that added together give a palindrome (14541).

The spelling of 53419200 in words is "fifty-three million, four hundred nineteen thousand, two hundred".