360461200 has 240 divisors, whose sum is σ = 1029576960. Its totient is φ = 119808000.

The previous prime is 360461191. The next prime is 360461207. The reversal of 360461200 is 2164063.

It is a Harshad number since it is a multiple of its sum of digits (22).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (360461207) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 4562761 + ... + 4562839.

It is an arithmetic number, because the mean of its divisors is an integer number (4289904).

Almost surely, 2^360461200 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 360461200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (514788480).

360461200 is an abundant number, since it is smaller than the sum of its proper divisors (669115760).

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

360461200 is a wasteful number, since it uses less digits than its factorization.

360461200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 186 (or 175 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 22.

The square root of 360461200 is about 18985.8157580864. The cubic root of 360461200 is about 711.6823162984.

The spelling of 360461200 in words is "three hundred sixty million, four hundred sixty-one thousand, two hundred".