360806400 has 432 divisors, whose sum is σ = 1386239400. Its totient is φ = 92897280.

The previous prime is 360806393. The next prime is 360806477. The reversal of 360806400 is 4608063.

It is a tau number, because it is divible by the number of its divisors (432).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 12441586 + ... + 12441614.

Almost surely, 2^360806400 is an apocalyptic number.

360806400 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 360806400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (693119700).

360806400 is an abundant number, since it is smaller than the sum of its proper divisors (1025433000).

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

360806400 is an equidigital number, since it uses as much as digits as its factorization.

360806400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 76 (or 39 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 27.

The square root of 360806400 is about 18994.9045799130. The cubic root of 360806400 is about 711.9094275228.

The spelling of 360806400 in words is "three hundred sixty million, eight hundred six thousand, four hundred".