905400384 has 168 divisors, whose sum is σ = 2832957504. Its totient is φ = 249984000.

The previous prime is 905400383. The next prime is 905400401. The reversal of 905400384 is 483004509.

It is a tau number, because it is divible by the number of its divisors (168).

It is not an unprimeable number, because it can be changed into a prime (905400383) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1291234 + ... + 1291934.

Almost surely, 2^905400384 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 905400384, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1416478752).

905400384 is an abundant number, since it is smaller than the sum of its proper divisors (1927557120).

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

905400384 is a wasteful number, since it uses less digits than its factorization.

905400384 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 785 (or 744 counting only the distinct ones).

The product of its (nonzero) digits is 17280, while the sum is 33.

The square root of 905400384 is about 30089.8717843729. The cubic root of 905400384 is about 967.4166510067.

The spelling of 905400384 in words is "nine hundred five million, four hundred thousand, three hundred eighty-four".