363327140 has 48 divisors (see below), whose sum is σ = 837938304. Its totient is φ = 131232000.

The previous prime is 363327121. The next prime is 363327143. The reversal of 363327140 is 41723363.

It is a happy number.

It is a super-2 number, since 2×363327140² = 264013221321159200, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (363327143) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 27752 + ... + 38688.

It is an arithmetic number, because the mean of its divisors is an integer number (17457048).

Almost surely, 2^363327140 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 363327140, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (418969152).

363327140 is an abundant number, since it is smaller than the sum of its proper divisors (474611164).

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

363327140 is a wasteful number, since it uses less digits than its factorization.

363327140 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11108 (or 11106 counting only the distinct ones).

The product of its (nonzero) digits is 9072, while the sum is 29.

The square root of 363327140 is about 19061.1421483604. The cubic root of 363327140 is about 713.5634776272.

The spelling of 363327140 in words is "three hundred sixty-three million, three hundred twenty-seven thousand, one hundred forty".