53306400 has 288 divisors, whose sum is σ = 209986560. Its totient is φ = 11473920.

The previous prime is 53306399. The next prime is 53306401. The reversal of 53306400 is 460335.

It is an interprime number because it is at equal distance from previous prime (53306399) and next prime (53306401).

It is a Harshad number since it is a multiple of its sum of digits (21).

It is not an unprimeable number, because it can be changed into a prime (53306401) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 319117 + ... + 319283.

It is an arithmetic number, because the mean of its divisors is an integer number (729120).

Almost surely, 2^53306400 is an apocalyptic number.

53306400 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 53306400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (104993280).

53306400 is an abundant number, since it is smaller than the sum of its proper divisors (156680160).

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

53306400 is a wasteful number, since it uses less digits than its factorization.

53306400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 216 (or 203 counting only the distinct ones).

The product of its (nonzero) digits is 1080, while the sum is 21.

The square root of 53306400 is about 7301.1232012616. The cubic root of 53306400 is about 376.3510377907.

Adding to 53306400 its reverse (460335), we get a palindrome (53766735).

The spelling of 53306400 in words is "fifty-three million, three hundred six thousand, four hundred".