361253920 has 24 divisors (see below), whose sum is σ = 853462764. Its totient is φ = 144501504.

The previous prime is 361253917. The next prime is 361253923. The reversal of 361253920 is 29352163.

It is an interprime number because it is at equal distance from previous prime (361253917) and next prime (361253923).

It can be written as a sum of positive squares in 2 ways, for example, as 289952784 + 71301136 = 17028^2 + 8444^2 .

It is not an unprimeable number, because it can be changed into a prime (361253923) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 1128759 + ... + 1129078.

Almost surely, 2^361253920 is an apocalyptic number.

It is an amenable number.

361253920 is an abundant number, since it is smaller than the sum of its proper divisors (492208844).

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

361253920 is a wasteful number, since it uses less digits than its factorization.

361253920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2257852 (or 2257844 counting only the distinct ones).

The product of its (nonzero) digits is 9720, while the sum is 31.

The square root of 361253920 is about 19006.6809306622. The cubic root of 361253920 is about 712.2036407786.

It can be divided in two parts, 36125 and 3920, that multiplied together give a square (141610000 = 11900²).

The spelling of 361253920 in words is "three hundred sixty-one million, two hundred fifty-three thousand, nine hundred twenty".