53411280 has 320 divisors, whose sum is σ = 202487040. Its totient is φ = 11501568.

The previous prime is 53411251. The next prime is 53411311. The reversal of 53411280 is 8211435.

53411280 is a nontrivial binomial coefficient, being equal to C(10336, 2).

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

It is a self number, because there is not a number n which added to its sum of digits gives 53411280.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1007734 + ... + 1007786.

It is an arithmetic number, because the mean of its divisors is an integer number (632772).

Almost surely, 2^53411280 is an apocalyptic number.

53411280 is the 10335-th triangular number and also the 5168-th hexagonal number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 53411280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (101243520).

53411280 is an abundant number, since it is smaller than the sum of its proper divisors (149075760).

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

53411280 is a wasteful number, since it uses less digits than its factorization.

53411280 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 118 (or 112 counting only the distinct ones).

The product of its (nonzero) digits is 960, while the sum is 24.

The square root of 53411280 is about 7308.3021284016. The cubic root of 53411280 is about 376.5976988441.

The spelling of 53411280 in words is "fifty-three million, four hundred eleven thousand, two hundred eighty".