525782400 has 384 divisors, whose sum is σ = 2039869440. Its totient is φ = 117350400.

The previous prime is 525782377. The next prime is 525782407. The reversal of 525782400 is 4287525.

It is a tau number, because it is divible by the number of its divisors (384).

It is a Harshad number since it is a multiple of its sum of digits (33).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (525782407) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1372609 + ... + 1372991.

It is an arithmetic number, because the mean of its divisors is an integer number (5312160).

Almost surely, 2^525782400 is an apocalyptic number.

525782400 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 525782400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1019934720).

525782400 is an abundant number, since it is smaller than the sum of its proper divisors (1514087040).

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

525782400 is a wasteful number, since it uses less digits than its factorization.

525782400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 434 (or 417 counting only the distinct ones).

The product of its (nonzero) digits is 22400, while the sum is 33.

The square root of 525782400 is about 22929.9454861977. The cubic root of 525782400 is about 807.1148690458.

The spelling of 525782400 in words is "five hundred twenty-five million, seven hundred eighty-two thousand, four hundred".