365149980 has 288 divisors, whose sum is σ = 1291530240. Its totient is φ = 82736640.

The previous prime is 365149963. The next prime is 365150011. The reversal of 365149980 is 89941563.

It is a happy number.

365149980 is a `hidden beast` number, since 36 + 51 + 499 + 80 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

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 95 ways as a sum of consecutive naturals, for example, 1911685 + ... + 1911875.

It is an arithmetic number, because the mean of its divisors is an integer number (4484480).

Almost surely, 2^365149980 is an apocalyptic number.

365149980 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 365149980, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (645765120).

365149980 is an abundant number, since it is smaller than the sum of its proper divisors (926380260).

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

365149980 is a wasteful number, since it uses less digits than its factorization.

365149980 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 281 (or 276 counting only the distinct ones).

The product of its (nonzero) digits is 233280, while the sum is 45.

The square root of 365149980 is about 19108.8979274054. The cubic root of 365149980 is about 714.7548216366.

The spelling of 365149980 in words is "three hundred sixty-five million, one hundred forty-nine thousand, nine hundred eighty".