53582400 has 189 divisors, whose sum is σ = 193617723. Its totient is φ = 14054400.

The previous prime is 53582383. The next prime is 53582407. The reversal of 53582400 is 428535.

The square root of 53582400 is 7320.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in 4 ways, for example, as 24681024 + 28901376 = 4968^2 + 5376^2 .

It is not an unprimeable number, because it can be changed into a prime (53582407) by changing a digit.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 878370 + ... + 878430.

Almost surely, 2^53582400 is an apocalyptic number.

53582400 is a gapful number since it is divisible by the number (50) formed by its first and last digit.

53582400 is the 7320-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 53582400

53582400 is an abundant number, since it is smaller than the sum of its proper divisors (140035323).

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

53582400 is a wasteful number, since it uses less digits than its factorization.

53582400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 150 (or 71 counting only the distinct ones).

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

The cubic root of 53582400 is about 376.9994535473. Note that the first 3 decimals are identical.

The spelling of 53582400 in words is "fifty-three million, five hundred eighty-two thousand, four hundred".