361383000 has 256 divisors, whose sum is σ = 1261578240. Its totient is φ = 85376000.

The previous prime is 361382999. The next prime is 361383013. The reversal of 361383000 is 383163.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1550884 + ... + 1551116.

It is an arithmetic number, because the mean of its divisors is an integer number (4928040).

Almost surely, 2^361383000 is an apocalyptic number.

361383000 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 361383000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (630789120).

361383000 is an abundant number, since it is smaller than the sum of its proper divisors (900195240).

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

361383000 is a wasteful number, since it uses less digits than its factorization.

361383000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 315 (or 301 counting only the distinct ones).

The product of its (nonzero) digits is 1296, while the sum is 24.

The square root of 361383000 is about 19010.0762754914. The cubic root of 361383000 is about 712.2884567429.

The spelling of 361383000 in words is "three hundred sixty-one million, three hundred eighty-three thousand".