4259979360 has 1152 divisors, whose sum is σ = 19813248000. Its totient is φ = 808206336.

The previous prime is 4259979343. The next prime is 4259979397. The reversal of 4259979360 is 639799524.

4259979360 is a `hidden beast` number, since 42 + 599 + 7 + 9 + 3 + 6 + 0 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 4259979297 and 4259979306.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 72203011 + ... + 72203069.

It is an arithmetic number, because the mean of its divisors is an integer number (17199000).

Almost surely, 2^4259979360 is an apocalyptic number.

4259979360 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 4259979360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9906624000).

4259979360 is an abundant number, since it is smaller than the sum of its proper divisors (15553268640).

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

4259979360 is a wasteful number, since it uses less digits than its factorization.

4259979360 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 148 (or 137 counting only the distinct ones).

The product of its (nonzero) digits is 3674160, while the sum is 54.

The square root of 4259979360 is about 65268.5173724668. The cubic root of 4259979360 is about 1621.0727234404.

The spelling of 4259979360 in words is "four billion, two hundred fifty-nine million, nine hundred seventy-nine thousand, three hundred sixty".