53556480 has 108 divisors (see below), whose sum is σ = 185339700. Its totient is φ = 14278656.

The previous prime is 53556473. The next prime is 53556521. The reversal of 53556480 is 8465535.

53556480 is a `hidden beast` number, since 5 + 3 + 5 + 5 + 648 + 0 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 39538944 + 14017536 = 6288^2 + 3744^2 .

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 11 ways as a sum of consecutive naturals, for example, 9196 + ... + 13844.

Almost surely, 2^53556480 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 53556480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (92669850).

53556480 is an abundant number, since it is smaller than the sum of its proper divisors (131783220).

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

53556480 is a wasteful number, since it uses less digits than its factorization.

53556480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4676 (or 4659 counting only the distinct ones).

The product of its (nonzero) digits is 72000, while the sum is 36.

The square root of 53556480 is about 7318.2292940301. The cubic root of 53556480 is about 376.9386537204.

The spelling of 53556480 in words is "fifty-three million, five hundred fifty-six thousand, four hundred eighty".