360422400 has 396 divisors, whose sum is σ = 1353918552. Its totient is φ = 84049920.

The previous prime is 360422383. The next prime is 360422417. The reversal of 360422400 is 4224063.

It is an interprime number because it is at equal distance from previous prime (360422383) and next prime (360422417).

It is a congruent number.

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 35 ways as a sum of consecutive naturals, for example, 18969591 + ... + 18969609.

Almost surely, 2^360422400 is an apocalyptic number.

360422400 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 360422400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (676959276).

360422400 is an abundant number, since it is smaller than the sum of its proper divisors (993496152).

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

360422400 is a wasteful number, since it uses less digits than its factorization.

360422400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 84 (or 42 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 21.

The square root of 360422400 is about 18984.7939151311. The cubic root of 360422400 is about 711.6567802493.

Adding to 360422400 its reverse (4224063), we get a palindrome (364646463).

The spelling of 360422400 in words is "three hundred sixty million, four hundred twenty-two thousand, four hundred".