53420256 has 96 divisors (see below), whose sum is σ = 165019680. Its totient is φ = 16754688.

The previous prime is 53420243. The next prime is 53420261. The reversal of 53420256 is 65202435.

It is a tau number, because it is divible by the number of its divisors (96).

It is a super-2 number, since 2×53420256² = 5707447502211072, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

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 15 ways as a sum of consecutive naturals, for example, 12870 + ... + 16506.

It is an arithmetic number, because the mean of its divisors is an integer number (1718955).

Almost surely, 2^53420256 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 53420256, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (82509840).

53420256 is an abundant number, since it is smaller than the sum of its proper divisors (111599424).

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

53420256 is a wasteful number, since it uses less digits than its factorization.

53420256 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3673 (or 3659 counting only the distinct ones).

The product of its (nonzero) digits is 7200, while the sum is 27.

The square root of 53420256 is about 7308.9161987260. The cubic root of 53420256 is about 376.6187939611.

The spelling of 53420256 in words is "fifty-three million, four hundred twenty thousand, two hundred fifty-six".