905400 has 72 divisors (see below), whose sum is σ = 3046680. Its totient is φ = 240960.

The previous prime is 905381. The next prime is 905413. The reversal of 905400 is 4509.

905400 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (72).

It is a hoax number, since the sum of its digits (18) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 1549 + ... + 2051.

It is an arithmetic number, because the mean of its divisors is an integer number (42315).

2⁹⁰⁵⁴⁰⁰ is an apocalyptic number.

905400 is a gapful number since it is divisible by the number (90) 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 905400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1523340).

905400 is an abundant number, since it is smaller than the sum of its proper divisors (2141280).

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

905400 is a wasteful number, since it uses less digits than its factorization.

905400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 525 (or 513 counting only the distinct ones).

The product of its (nonzero) digits is 180, while the sum is 18.

The square root of 905400 is about 951.5250916292. The cubic root of 905400 is about 96.7416514239.

Adding to 905400 its reverse (4509), we get a palindrome (909909).

The spelling of 905400 in words is "nine hundred five thousand, four hundred".