53908480 has 44 divisors (see below), whose sum is σ = 129329460. Its totient is φ = 21561344.

The previous prime is 53908471. The next prime is 53908487. The reversal of 53908480 is 8480935.

It can be written as a sum of positive squares in 2 ways, for example, as 32080896 + 21827584 = 5664^2 + 4672^2 .

It is a super-2 number, since 2×53908480² = 5812248431820800, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (53908487) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 145 + ... + 10384.

Almost surely, 2^53908480 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 53908480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (64664730).

53908480 is an abundant number, since it is smaller than the sum of its proper divisors (75420980).

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

53908480 is a wasteful number, since it uses less digits than its factorization.

53908480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10554 (or 10536 counting only the distinct ones).

The product of its (nonzero) digits is 34560, while the sum is 37.

The square root of 53908480 is about 7342.2394403887. The cubic root of 53908480 is about 377.7626609355.

The spelling of 53908480 in words is "fifty-three million, nine hundred eight thousand, four hundred eighty".