926303040 has 280 divisors, whose sum is σ = 3549777000. Its totient is φ = 227930112.

The previous prime is 926303039. The next prime is 926303047. The reversal of 926303040 is 40303629.

It can be written as a sum of positive squares in 4 ways, for example, as 7485696 + 918817344 = 2736^2 + 30312^2 .

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a junction number, because it is equal to n+sod(n) for n = 926302995 and 926303013.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (926303047) by changing a digit.

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 39 ways as a sum of consecutive naturals, for example, 335586 + ... + 338334.

It is an arithmetic number, because the mean of its divisors is an integer number (12677775).

Almost surely, 2^926303040 is an apocalyptic number.

926303040 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 926303040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1774888500).

926303040 is an abundant number, since it is smaller than the sum of its proper divisors (2623473960).

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

926303040 is a wasteful number, since it uses less digits than its factorization.

926303040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2791 (or 2772 counting only the distinct ones).

The product of its (nonzero) digits is 3888, while the sum is 27.

The square root of 926303040 is about 30435.2269582469. The cubic root of 926303040 is about 974.8048840331.

Adding to 926303040 its reverse (40303629), we get a palindrome (966606669).

The spelling of 926303040 in words is "nine hundred twenty-six million, three hundred three thousand, forty".