53438400 has 168 divisors, whose sum is σ = 194960240. Its totient is φ = 14238720.

The previous prime is 53438377. The next prime is 53438401. The reversal of 53438400 is 483435.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (53438401) 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, 42582 + ... + 43818.

Almost surely, 2^53438400 is an apocalyptic number.

53438400 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 53438400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (97480120).

53438400 is an abundant number, since it is smaller than the sum of its proper divisors (141521840).

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

53438400 is a wasteful number, since it uses less digits than its factorization.

53438400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1268 (or 1247 counting only the distinct ones).

The product of its (nonzero) digits is 5760, while the sum is 27.

The square root of 53438400 is about 7310.1573170487. The cubic root of 53438400 is about 376.6614282127.

The spelling of 53438400 in words is "fifty-three million, four hundred thirty-eight thousand, four hundred".