53488800 has 432 divisors, whose sum is σ = 219360960. Its totient is φ = 12165120.

The previous prime is 53488793. The next prime is 53488829. The reversal of 53488800 is 888435.

It is a super-2 number, since 2×53488800² = 5722103450880000, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 2325589 + ... + 2325611.

It is an arithmetic number, because the mean of its divisors is an integer number (507780).

Almost surely, 2^53488800 is an apocalyptic number.

53488800 is a gapful number since it is divisible by the number (50) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 53488800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (109680480).

53488800 is an abundant number, since it is smaller than the sum of its proper divisors (165872160).

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

53488800 is a wasteful number, since it uses less digits than its factorization.

53488800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 85 (or 69 counting only the distinct ones).

The product of its (nonzero) digits is 30720, while the sum is 36.

The square root of 53488800 is about 7313.6037628518. The cubic root of 53488800 is about 376.7798060769.

The spelling of 53488800 in words is "fifty-three million, four hundred eighty-eight thousand, eight hundred".