361493760 has 144 divisors (see below), whose sum is σ = 1205011584. Its totient is φ = 92184576.

The previous prime is 361493749. The next prime is 361493773. The reversal of 361493760 is 67394163.

It is a congruent number.

It is an unprimeable number.

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, 86274 + ... + 90366.

It is an arithmetic number, because the mean of its divisors is an integer number (8368136).

Almost surely, 2^361493760 is an apocalyptic number.

361493760 is a gapful number since it is divisible by the number (30) 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 361493760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (602505792).

361493760 is an abundant number, since it is smaller than the sum of its proper divisors (843517824).

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

361493760 is a wasteful number, since it uses less digits than its factorization.

361493760 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4140 (or 4126 counting only the distinct ones).

The product of its (nonzero) digits is 81648, while the sum is 39.

The square root of 361493760 is about 19012.9892441983. The cubic root of 361493760 is about 712.3612188917.

The spelling of 361493760 in words is "three hundred sixty-one million, four hundred ninety-three thousand, seven hundred sixty".