825448400 has 60 divisors (see below), whose sum is σ = 2266453152. Its totient is φ = 283009920.

The previous prime is 825448387. The next prime is 825448417. The reversal of 825448400 is 4844528.

825448400 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×825448400² = 1362730122125120000, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (35).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 144602 + ... + 150201.

Almost surely, 2^825448400 is an apocalyptic number.

825448400 is a gapful number since it is divisible by the number (80) formed by its first and last digit.

It is an amenable number.

825448400 is an abundant number, since it is smaller than the sum of its proper divisors (1441004752).

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

825448400 is a wasteful number, since it uses less digits than its factorization.

825448400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 294828 (or 294817 counting only the distinct ones).

The product of its (nonzero) digits is 40960, while the sum is 35.

The square root of 825448400 is about 28730.6178144501. The cubic root of 825448400 is about 938.0586158196.

The spelling of 825448400 in words is "eight hundred twenty-five million, four hundred forty-eight thousand, four hundred".