53524800 has 420 divisors, whose sum is σ = 228660960. Its totient is φ = 12026880.

The previous prime is 53524787. The next prime is 53524837. The reversal of 53524800 is 842535.

It is a tau number, because it is divible by the number of its divisors (420).

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 polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 907171 + ... + 907229.

Almost surely, 2^53524800 is an apocalyptic number.

53524800 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 53524800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (114330480).

53524800 is an abundant number, since it is smaller than the sum of its proper divisors (175136160).

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

53524800 is a wasteful number, since it uses less digits than its factorization.

53524800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 100 (or 76 counting only the distinct ones).

The product of its (nonzero) digits is 4800, while the sum is 27.

The square root of 53524800 is about 7316.0645158446. The cubic root of 53524800 is about 376.8643161744.

The spelling of 53524800 in words is "fifty-three million, five hundred twenty-four thousand, eight hundred".