825253920 has 240 divisors, whose sum is σ = 2992911768. Its totient is φ = 213995520.

The previous prime is 825253901. The next prime is 825253927. The reversal of 825253920 is 29352528.

825253920 is a `hidden beast` number, since 82 + 525 + 39 + 20 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 814988304 + 10265616 = 28548^2 + 3204^2 .

It is a tau number, because it is divible by the number of its divisors (240).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (825253927) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 478660 + ... + 480380.

Almost surely, 2^825253920 is an apocalyptic number.

825253920 is a gapful number since it is divisible by the number (80) 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 825253920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1496455884).

825253920 is an abundant number, since it is smaller than the sum of its proper divisors (2167657848).

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

825253920 is a wasteful number, since it uses less digits than its factorization.

825253920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1785 (or 1768 counting only the distinct ones).

The product of its (nonzero) digits is 43200, while the sum is 36.

The square root of 825253920 is about 28727.2330724698. The cubic root of 825253920 is about 937.9849395127.

The spelling of 825253920 in words is "eight hundred twenty-five million, two hundred fifty-three thousand, nine hundred twenty".