123303440 has 80 divisors (see below), whose sum is σ = 314698608. Its totient is φ = 44648448.

The previous prime is 123303421. The next prime is 123303443. The reversal of 123303440 is 44303321.

It can be written as a sum of positive squares in 8 ways, for example, as 4624 + 123298816 = 68^2 + 11104^2 .

It is a tau number, because it is divible by the number of its divisors (80).

It is a Harshad number since it is a multiple of its sum of digits (20).

It is not an unprimeable number, because it can be changed into a prime (123303443) 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 15 ways as a sum of consecutive naturals, for example, 54002 + ... + 56238.

Almost surely, 2^123303440 is an apocalyptic number.

123303440 is a gapful number since it is divisible by the number (10) 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 123303440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (157349304).

123303440 is an abundant number, since it is smaller than the sum of its proper divisors (191395168).

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

123303440 is a wasteful number, since it uses less digits than its factorization.

123303440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2316 (or 2310 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 20.

The square root of 123303440 is about 11104.2082113044. The cubic root of 123303440 is about 497.7276081157.

Adding to 123303440 its reverse (44303321), we get a palindrome (167606761).

The spelling of 123303440 in words is "one hundred twenty-three million, three hundred three thousand, four hundred forty".