436819968 has 144 divisors (see below), whose sum is σ = 1359408960. Its totient is φ = 134332416.

The previous prime is 436819931. The next prime is 436819969. The reversal of 436819968 is 869918634.

It is a tau number, because it is divible by the number of its divisors (144).

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (436819969) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 238705 + ... + 240527.

It is an arithmetic number, because the mean of its divisors is an integer number (9440340).

Almost surely, 2^436819968 is an apocalyptic number.

436819968 is a gapful number since it is divisible by the number (48) 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 436819968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (679704480).

436819968 is an abundant number, since it is smaller than the sum of its proper divisors (922588992).

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

436819968 is a wasteful number, since it uses less digits than its factorization.

436819968 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1864 (or 1841 counting only the distinct ones).

The product of its digits is 2239488, while the sum is 54.

The square root of 436819968 is about 20900.2384675391. The cubic root of 436819968 is about 758.7537099209.

It can be divided in two parts, 4368 and 19968, that added together give a square (24336 = 156²).

The spelling of 436819968 in words is "four hundred thirty-six million, eight hundred nineteen thousand, nine hundred sixty-eight".