53348400 has 360 divisors, whose sum is σ = 221875680. Its totient is φ = 11612160.

The previous prime is 53348389. The next prime is 53348411. The reversal of 53348400 is 484335.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (53348389) and next prime (53348411).

It is a tau number, because it is divible by the number of its divisors (360).

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 730764 + ... + 730836.

Almost surely, 2^53348400 is an apocalyptic number.

53348400 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 53348400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (110937840).

53348400 is an abundant number, since it is smaller than the sum of its proper divisors (168527280).

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

53348400 is a wasteful number, since it uses less digits than its factorization.

53348400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 133 (or 119 counting only the distinct ones).

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

The square root of 53348400 is about 7303.9989047097. The cubic root of 53348400 is about 376.4498539056.

The spelling of 53348400 in words is "fifty-three million, three hundred forty-eight thousand, four hundred".