4282623360 has 256 divisors, whose sum is σ = 15285312000. Its totient is φ = 1133180928.

The previous prime is 4282623353. The next prime is 4282623361. The reversal of 4282623360 is 633262824.

4282623360 is a `hidden beast` number, since 4 + 28 + 2 + 623 + 3 + 6 + 0 = 666.

4282623360 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4282623361) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2401029 + ... + 2402811.

It is an arithmetic number, because the mean of its divisors is an integer number (59708250).

Almost surely, 2^4282623360 is an apocalyptic number.

4282623360 is a gapful number since it is divisible by the number (40) 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 4282623360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7642656000).

4282623360 is an abundant number, since it is smaller than the sum of its proper divisors (11002688640).

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

4282623360 is a wasteful number, since it uses less digits than its factorization.

4282623360 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1950 (or 1932 counting only the distinct ones).

The product of its (nonzero) digits is 82944, while the sum is 36.

The square root of 4282623360 is about 65441.7554776765. The cubic root of 4282623360 is about 1623.9399299936.

The spelling of 4282623360 in words is "four billion, two hundred eighty-two million, six hundred twenty-three thousand, three hundred sixty".