53268480 has 234 divisors, whose sum is σ = 196141686. Its totient is φ = 13369344.

The previous prime is 53268469. The next prime is 53268517. The reversal of 53268480 is 8486235.

It can be written as a sum of positive squares in 3 ways, for example, as 17842176 + 35426304 = 4224^2 + 5952^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 3133432 + ... + 3133448.

Almost surely, 2^53268480 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 53268480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (98070843).

53268480 is an abundant number, since it is smaller than the sum of its proper divisors (142873206).

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

53268480 is a wasteful number, since it uses less digits than its factorization.

53268480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 69 (or 27 counting only the distinct ones).

The product of its (nonzero) digits is 46080, while the sum is 36.

The square root of 53268480 is about 7298.5258785593. The cubic root of 53268480 is about 376.2617763594.

Multiplying 53268480 by its product of nonzero digits (46080), we get a square (2454611558400 = 1566720²).

53268480 divided by its product of nonzero digits (46080) gives a square (1156 = 34²).

The spelling of 53268480 in words is "fifty-three million, two hundred sixty-eight thousand, four hundred eighty".