905798400 has 432 divisors, whose sum is σ = 3406448640. Its totient is φ = 210124800.

The previous prime is 905798389. The next prime is 905798407. The reversal of 905798400 is 4897509.

905798400 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not an unprimeable number, because it can be changed into a prime (905798407) 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, 4742305 + ... + 4742495.

Almost surely, 2^905798400 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 905798400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1703224320).

905798400 is an abundant number, since it is smaller than the sum of its proper divisors (2500650240).

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

905798400 is a wasteful number, since it uses less digits than its factorization.

905798400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 252 (or 233 counting only the distinct ones).

The product of its (nonzero) digits is 90720, while the sum is 42.

The square root of 905798400 is about 30096.4848445794. The cubic root of 905798400 is about 967.5583897350.

The spelling of 905798400 in words is "nine hundred five million, seven hundred ninety-eight thousand, four hundred".