825455400 has 384 divisors, whose sum is σ = 3381212160. Its totient is φ = 161280000.

The previous prime is 825455347. The next prime is 825455401. The reversal of 825455400 is 4554528.

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

It is not an unprimeable number, because it can be changed into a prime (825455401) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 784875 + ... + 785925.

It is an arithmetic number, because the mean of its divisors is an integer number (8805240).

Almost surely, 2^825455400 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 825455400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1690606080).

825455400 is an abundant number, since it is smaller than the sum of its proper divisors (2555756760).

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

825455400 is a wasteful number, since it uses less digits than its factorization.

825455400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1105 (or 1096 counting only the distinct ones).

The product of its (nonzero) digits is 32000, while the sum is 33.

The square root of 825455400 is about 28730.7396354497. The cubic root of 825455400 is about 938.0612674659.

The spelling of 825455400 in words is "eight hundred twenty-five million, four hundred fifty-five thousand, four hundred".