361275200 has 168 divisors, whose sum is σ = 1045037280. Its totient is φ = 121190400.

The previous prime is 361275199. The next prime is 361275203. The reversal of 361275200 is 2572163.

It is a Harshad number since it is a multiple of its sum of digits (26).

It is a self number, because there is not a number n which added to its sum of digits gives 361275200.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (361275203) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 228011 + ... + 229589.

It is an arithmetic number, because the mean of its divisors is an integer number (6220460).

Almost surely, 2^361275200 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 361275200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (522518640).

361275200 is an abundant number, since it is smaller than the sum of its proper divisors (683762080).

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

361275200 is a wasteful number, since it uses less digits than its factorization.

361275200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1625 (or 1610 counting only the distinct ones).

The product of its (nonzero) digits is 2520, while the sum is 26.

The square root of 361275200 is about 19007.2407255761. The cubic root of 361275200 is about 712.2176248445.

The spelling of 361275200 in words is "three hundred sixty-one million, two hundred seventy-five thousand, two hundred".