361243040 has 48 divisors (see below), whose sum is σ = 855866088. Its totient is φ = 144086016.

The previous prime is 361243039. The next prime is 361243049. The reversal of 361243040 is 40342163.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 212110096 + 149132944 = 14564^2 + 12212^2 .

It is a junction number, because it is equal to n+sod(n) for n = 361242997 and 361243015.

It is not an unprimeable number, because it can be changed into a prime (361243049) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 56654 + ... + 62706.

Almost surely, 2^361243040 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 361243040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (427933044).

361243040 is an abundant number, since it is smaller than the sum of its proper divisors (494623048).

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

361243040 is a wasteful number, since it uses less digits than its factorization.

361243040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6441 (or 6433 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 23.

The square root of 361243040 is about 19006.3947133590. The cubic root of 361243040 is about 712.1964908184.

The spelling of 361243040 in words is "three hundred sixty-one million, two hundred forty-three thousand, forty".