361163400 has 192 divisors, whose sum is σ = 1269710400. Its totient is φ = 84188160.

The previous prime is 361163393. The next prime is 361163417. The reversal of 361163400 is 4361163.

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 146982 + ... + 149418.

It is an arithmetic number, because the mean of its divisors is an integer number (6613075).

Almost surely, 2^361163400 is an apocalyptic number.

361163400 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 361163400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (634855200).

361163400 is an abundant number, since it is smaller than the sum of its proper divisors (908547000).

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

361163400 is a wasteful number, since it uses less digits than its factorization.

361163400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2488 (or 2479 counting only the distinct ones).

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

The square root of 361163400 is about 19004.2995135311. The cubic root of 361163400 is about 712.1441497895.

The spelling of 361163400 in words is "three hundred sixty-one million, one hundred sixty-three thousand, four hundred".