363151360 has 240 divisors, whose sum is σ = 1056932352. Its totient is φ = 117964800.

The previous prime is 363151343. The next prime is 363151409. The reversal of 363151360 is 63151363.

It is a zygodrome in base 4.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 11714545 + ... + 11714575.

Almost surely, 2^363151360 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 363151360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (528466176).

363151360 is an abundant number, since it is smaller than the sum of its proper divisors (693780992).

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

363151360 is a wasteful number, since it uses less digits than its factorization.

363151360 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 88 (or 62 counting only the distinct ones).

The product of its (nonzero) digits is 4860, while the sum is 28.

The square root of 363151360 is about 19056.5306391274. The cubic root of 363151360 is about 713.4483835355.

It can be divided in two parts, 36315 and 1360, that added together give a triangular number (37675 = T₂₇₄).

The spelling of 363151360 in words is "three hundred sixty-three million, one hundred fifty-one thousand, three hundred sixty".