361072400 has 120 divisors (see below), whose sum is σ = 975145920. Its totient is φ = 127480320.

The previous prime is 361072391. The next prime is 361072427. The reversal of 361072400 is 4270163.

It is a Harshad number since it is a multiple of its sum of digits (23).

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 23 ways as a sum of consecutive naturals, for example, 118091 + ... + 121109.

It is an arithmetic number, because the mean of its divisors is an integer number (8126216).

Almost surely, 2^361072400 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 361072400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (487572960).

361072400 is an abundant number, since it is smaller than the sum of its proper divisors (614073520).

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

361072400 is a wasteful number, since it uses less digits than its factorization.

361072400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3073 (or 3062 counting only the distinct ones).

The product of its (nonzero) digits is 1008, while the sum is 23.

The square root of 361072400 is about 19001.9051676404. The cubic root of 361072400 is about 712.0843333175.

The spelling of 361072400 in words is "three hundred sixty-one million, seventy-two thousand, four hundred".