53282400 has 108 divisors (see below), whose sum is σ = 174606012. Its totient is φ = 14113280.

The previous prime is 53282371. The next prime is 53282407. The reversal of 53282400 is 428235.

It is a hoax number, since the sum of its digits (24) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (53282407) by changing a digit.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 357526 + ... + 357674.

Almost surely, 2^53282400 is an apocalyptic number.

53282400 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 53282400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (87303006).

53282400 is an abundant number, since it is smaller than the sum of its proper divisors (121323612).

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

53282400 is a wasteful number, since it uses less digits than its factorization.

53282400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 321 (or 159 counting only the distinct ones).

The product of its (nonzero) digits is 1920, while the sum is 24.

The square root of 53282400 is about 7299.4794334939. The cubic root of 53282400 is about 376.2945481334.

Multiplying 53282400 by its sum of digits (24), we get a square (1278777600 = 35760²).

53282400 divided by its sum of digits (24) gives a square (2220100 = 1490²).

The spelling of 53282400 in words is "fifty-three million, two hundred eighty-two thousand, four hundred".