361022400 has 336 divisors, whose sum is σ = 1347398880. Its totient is φ = 94003200.

The previous prime is 361022351. The next prime is 361022411. The reversal of 361022400 is 4220163.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (18).

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 47 ways as a sum of consecutive naturals, for example, 2635132 + ... + 2635268.

Almost surely, 2^361022400 is an apocalyptic number.

361022400 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 361022400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (673699440).

361022400 is an abundant number, since it is smaller than the sum of its proper divisors (986376480).

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

361022400 is a wasteful number, since it uses less digits than its factorization.

361022400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 229 (or 208 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 18.

The square root of 361022400 is about 19000.5894645403. The cubic root of 361022400 is about 712.0514628459.

Adding to 361022400 its reverse (4220163), we get a palindrome (365242563).

The spelling of 361022400 in words is "three hundred sixty-one million, twenty-two thousand, four hundred".