435325968 has 320 divisors, whose sum is σ = 1628467200. Its totient is φ = 107965440.

The previous prime is 435325949. The next prime is 435325973. The reversal of 435325968 is 869523534.

435325968 is a `hidden beast` number, since 4 + 3 + 53 + 2 + 596 + 8 = 666.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 764788 + ... + 765356.

It is an arithmetic number, because the mean of its divisors is an integer number (5088960).

Almost surely, 2^435325968 is an apocalyptic number.

435325968 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 435325968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (814233600).

435325968 is an abundant number, since it is smaller than the sum of its proper divisors (1193141232).

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

435325968 is a wasteful number, since it uses less digits than its factorization.

435325968 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 627 (or 615 counting only the distinct ones).

The product of its digits is 777600, while the sum is 45.

The square root of 435325968 is about 20864.4666358860. The cubic root of 435325968 is about 757.8876988016.

The spelling of 435325968 in words is "four hundred thirty-five million, three hundred twenty-five thousand, nine hundred sixty-eight".