436423968 has 54 divisors (see below), whose sum is σ = 1242089667. Its totient is φ = 145356480.

The previous prime is 436423961. The next prime is 436423969. The reversal of 436423968 is 869324634.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

It can be written as a sum of positive squares in only one way, i.e., 218211984 + 218211984 = 14772^2 + 14772^2 .

It is an ABA number since it can be written as A⋅B^A, here for A=2, B=14772.

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

It is not an unprimeable number, because it can be changed into a prime (436423961) by changing a digit.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 353913 + ... + 355143.

Almost surely, 2^436423968 is an apocalyptic number.

436423968 is a gapful number since it is divisible by the number (48) formed by its first and last digit.

It is an amenable number.

436423968 is an abundant number, since it is smaller than the sum of its proper divisors (805665699).

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

436423968 is an equidigital number, since it uses as much as digits as its factorization.

436423968 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2478 (or 1236 counting only the distinct ones).

The product of its digits is 746496, while the sum is 45.

The square root of 436423968 is about 20890.7627433754. The cubic root of 436423968 is about 758.5243573782.

The spelling of 436423968 in words is "four hundred thirty-six million, four hundred twenty-three thousand, nine hundred sixty-eight".