903378240 has 168 divisors, whose sum is σ = 3126214728. Its totient is φ = 239431680.

The previous prime is 903378191. The next prime is 903378241. The reversal of 903378240 is 42873309.

It can be written as a sum of positive squares in 4 ways, for example, as 1937664 + 901440576 = 1392^2 + 30024^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 903378195 and 903378204.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (903378241) 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, 520414 + ... + 522146.

It is an arithmetic number, because the mean of its divisors is an integer number (18608421).

Almost surely, 2^903378240 is an apocalyptic number.

903378240 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 903378240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1563107364).

903378240 is an abundant number, since it is smaller than the sum of its proper divisors (2222836488).

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

903378240 is a wasteful number, since it uses less digits than its factorization.

903378240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1937 (or 1924 counting only the distinct ones).

The product of its (nonzero) digits is 36288, while the sum is 36.

The square root of 903378240 is about 30056.2512632564. The cubic root of 903378240 is about 966.6958965927.

The spelling of 903378240 in words is "nine hundred three million, three hundred seventy-eight thousand, two hundred forty".