361631440 has 20 divisors (see below), whose sum is σ = 840793284. Its totient is φ = 144652544.

The previous prime is 361631437. The next prime is 361631443. The reversal of 361631440 is 44136163.

It is an interprime number because it is at equal distance from previous prime (361631437) and next prime (361631443).

It can be written as a sum of positive squares in 2 ways, for example, as 248251536 + 113379904 = 15756^2 + 10648^2 .

It is a tau number, because it is divible by the number of its divisors (20).

It is a junction number, because it is equal to n+sod(n) for n = 361631399 and 361631408.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (361631443) 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 3 ways as a sum of consecutive naturals, for example, 2260117 + ... + 2260276.

Almost surely, 2^361631440 is an apocalyptic number.

It is an amenable number.

361631440 is an abundant number, since it is smaller than the sum of its proper divisors (479161844).

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

361631440 is a wasteful number, since it uses less digits than its factorization.

361631440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4520406 (or 4520400 counting only the distinct ones).

The product of its (nonzero) digits is 5184, while the sum is 28.

The square root of 361631440 is about 19016.6095821521. The cubic root of 361631440 is about 712.4516450204.

The spelling of 361631440 in words is "three hundred sixty-one million, six hundred thirty-one thousand, four hundred forty".