825412350 has 192 divisors, whose sum is σ = 2435558400. Its totient is φ = 184867200.

The previous prime is 825412333. The next prime is 825412397. The reversal of 825412350 is 53214528.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 3138319 + ... + 3138581.

It is an arithmetic number, because the mean of its divisors is an integer number (12685200).

Almost surely, 2^825412350 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 825412350, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1217779200).

825412350 is an abundant number, since it is smaller than the sum of its proper divisors (1610146050).

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

825412350 is a wasteful number, since it uses less digits than its factorization.

825412350 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 360 (or 341 counting only the distinct ones).

The product of its (nonzero) digits is 9600, while the sum is 30.

The square root of 825412350 is about 28729.9904281223. The cubic root of 825412350 is about 938.0449596034.

Adding to 825412350 its reverse (53214528), we get a palindrome (878626878).

The spelling of 825412350 in words is "eight hundred twenty-five million, four hundred twelve thousand, three hundred fifty".