53985456 has 120 divisors (see below), whose sum is σ = 176352800. Its totient is φ = 15410304.

The previous prime is 53985433. The next prime is 53985457. The reversal of 53985456 is 65458935.

It is not an unprimeable number, because it can be changed into a prime (53985457) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 48846 + ... + 49938.

Almost surely, 2^53985456 is an apocalyptic number.

53985456 is a gapful number since it is divisible by the number (56) 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 53985456, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (88176400).

53985456 is an abundant number, since it is smaller than the sum of its proper divisors (122367344).

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

53985456 is a wasteful number, since it uses less digits than its factorization.

53985456 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1128 (or 1105 counting only the distinct ones).

The product of its digits is 648000, while the sum is 45.

The square root of 53985456 is about 7347.4795678518. The cubic root of 53985456 is about 377.9423780479.

The spelling of 53985456 in words is "fifty-three million, nine hundred eighty-five thousand, four hundred fifty-six".