360219420 has 288 divisors, whose sum is σ = 1273608000. Its totient is φ = 84395520.

The previous prime is 360219397. The next prime is 360219451. The reversal of 360219420 is 24912063.

360219420 is a `hidden beast` number, since 3 + 602 + 19 + 42 + 0 = 666.

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

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 2417506 + ... + 2417654.

It is an arithmetic number, because the mean of its divisors is an integer number (4422250).

Almost surely, 2^360219420 is an apocalyptic number.

360219420 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 360219420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (636804000).

360219420 is an abundant number, since it is smaller than the sum of its proper divisors (913388580).

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

360219420 is a wasteful number, since it uses less digits than its factorization.

360219420 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 226 (or 207 counting only the distinct ones).

The product of its (nonzero) digits is 2592, while the sum is 27.

The square root of 360219420 is about 18979.4473049138. The cubic root of 360219420 is about 711.5231599759.

The spelling of 360219420 in words is "three hundred sixty million, two hundred nineteen thousand, four hundred twenty".