903420000 has 480 divisors, whose sum is σ = 3778790400. Its totient is φ = 205632000.

The previous prime is 903419983. The next prime is 903420031. The reversal of 903420000 is 24309.

It is a tau number, because it is divible by the number of its divisors (480).

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 pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 3779881 + ... + 3780119.

It is an arithmetic number, because the mean of its divisors is an integer number (7872480).

Almost surely, 2^903420000 is an apocalyptic number.

903420000 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 903420000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1889395200).

903420000 is an abundant number, since it is smaller than the sum of its proper divisors (2875370400).

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

903420000 is a wasteful number, since it uses less digits than its factorization.

903420000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 285 (or 256 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 18.

The square root of 903420000 is about 30056.9459526413. The cubic root of 903420000 is about 966.7107920141.

Adding to 903420000 its reverse (24309), we get a palindrome (903444309).

It can be divided in two parts, 903 and 420000, that added together give a triangular number (420903 = T₉₁₇).

The spelling of 903420000 in words is "nine hundred three million, four hundred twenty thousand".