363151980 has 144 divisors (see below), whose sum is σ = 1147281408. Its totient is φ = 92880000.

The previous prime is 363151979. The next prime is 363151981. The reversal of 363151980 is 89151363.

It is a happy number.

363151980 is a `hidden beast` number, since 3 + 63 + 1 + 519 + 80 = 666.

It is an interprime number because it is at equal distance from previous prime (363151979) and next prime (363151981).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (363151981) 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 47 ways as a sum of consecutive naturals, for example, 842365 + ... + 842795.

It is an arithmetic number, because the mean of its divisors is an integer number (7967232).

Almost surely, 2^363151980 is an apocalyptic number.

363151980 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 363151980, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (573640704).

363151980 is an abundant number, since it is smaller than the sum of its proper divisors (784129428).

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

363151980 is a wasteful number, since it uses less digits than its factorization.

363151980 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 628 (or 623 counting only the distinct ones).

The product of its (nonzero) digits is 19440, while the sum is 36.

The square root of 363151980 is about 19056.5469065096. The cubic root of 363151980 is about 713.4487895533.

It can be divided in two parts, 3631 and 51980, that added together give a triangular number (55611 = T₃₃₃).

The spelling of 363151980 in words is "three hundred sixty-three million, one hundred fifty-one thousand, nine hundred eighty".