361433440 has 48 divisors (see below), whose sum is σ = 857031840. Its totient is φ = 144040960.

The previous prime is 361433417. The next prime is 361433473. The reversal of 361433440 is 44334163.

361433440 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a junction number, because it is equal to n+sod(n) for n = 361433399 and 361433408.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 40941 + ... + 48979.

It is an arithmetic number, because the mean of its divisors is an integer number (17854830).

Almost surely, 2^361433440 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 361433440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (428515920).

361433440 is an abundant number, since it is smaller than the sum of its proper divisors (495598400).

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

361433440 is a wasteful number, since it uses less digits than its factorization.

361433440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8335 (or 8327 counting only the distinct ones).

The product of its (nonzero) digits is 10368, while the sum is 28.

The square root of 361433440 is about 19011.4028940528. The cubic root of 361433440 is about 712.3215944005.

The spelling of 361433440 in words is "three hundred sixty-one million, four hundred thirty-three thousand, four hundred forty".