53753280 has 224 divisors, whose sum is σ = 205800960. Its totient is φ = 11612160.

The previous prime is 53753279. The next prime is 53753317. The reversal of 53753280 is 8235735.

53753280 = T₂₈₀ + T₂₈₁ + ... + T₇₀₀.

It is a tau number, because it is divible by the number of its divisors (224).

It is a super-2 number, since 2×53753280² = 5778830221516800, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 127470 + ... + 127890.

Almost surely, 2^53753280 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 53753280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (102900480).

53753280 is an abundant number, since it is smaller than the sum of its proper divisors (152047680).

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

53753280 is a wasteful number, since it uses less digits than its factorization.

53753280 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 467 (or 457 counting only the distinct ones).

The product of its (nonzero) digits is 25200, while the sum is 33.

The square root of 53753280 is about 7331.6628400384. The cubic root of 53753280 is about 377.3997921234.

The spelling of 53753280 in words is "fifty-three million, seven hundred fifty-three thousand, two hundred eighty".