360282420 has 72 divisors (see below), whose sum is σ = 1102590216. Its totient is φ = 95219712.

The previous prime is 360282407. The next prime is 360282437. The reversal of 360282420 is 24282063.

360282420 is a `hidden beast` number, since 360 + 282 + 4 + 20 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 23853456 + 336428964 = 4884^2 + 18342^2 .

It is a super-2 number, since 2×360282420² = 259606844322112800, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 11484 + ... + 29196.

It is an arithmetic number, because the mean of its divisors is an integer number (15313753).

Almost surely, 2^360282420 is an apocalyptic number.

360282420 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 360282420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (551295108).

360282420 is an abundant number, since it is smaller than the sum of its proper divisors (742307796).

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

360282420 is a wasteful number, since it uses less digits than its factorization.

360282420 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 17841 (or 17836 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 27.

The square root of 360282420 is about 18981.1069224110. The cubic root of 360282420 is about 711.5646377934.

The spelling of 360282420 in words is "three hundred sixty million, two hundred eighty-two thousand, four hundred twenty".