4476412836 has 243 divisors, whose sum is σ = 13903945419. Its totient is φ = 1257297552.

The previous prime is 4476412823. The next prime is 4476412877. The reversal of 4476412836 is 6382146744.

The square root of 4476412836 is 66906.

It is a perfect power (a square), and thus also a powerful number.

It is a tau number, because it is divible by the number of its divisors (243).

It is a junction number, because it is equal to n+sod(n) for n = 4476412791 and 4476412800.

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 80 ways as a sum of consecutive naturals, for example, 75871375 + ... + 75871433.

Almost surely, 2^4476412836 is an apocalyptic number.

4476412836 is the 66906-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4476412836

4476412836 is an abundant number, since it is smaller than the sum of its proper divisors (9427532583).

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

4476412836 is an frugal number, since it uses more digits than its factorization.

4476412836 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 160 (or 71 counting only the distinct ones).

The product of its digits is 774144, while the sum is 45.

The cubic root of 4476412836 is about 1648.0740105834.

It can be divided in two parts, 44764 and 12836, that added together give a square (57600 = 240²).

The spelling of 4476412836 in words is "four billion, four hundred seventy-six million, four hundred twelve thousand, eight hundred thirty-six".