434569968 has 160 divisors (see below), whose sum is σ = 1437765120. Its totient is φ = 123102720.

The previous prime is 434569939. The next prime is 434569999. The reversal of 434569968 is 869965434.

434569968 is a `hidden beast` number, since 43 + 456 + 99 + 68 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 395596 + ... + 396692.

It is an arithmetic number, because the mean of its divisors is an integer number (8986032).

Almost surely, 2^434569968 is an apocalyptic number.

434569968 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 434569968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (718882560).

434569968 is an abundant number, since it is smaller than the sum of its proper divisors (1003195152).

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

434569968 is a wasteful number, since it uses less digits than its factorization.

434569968 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1252 (or 1240 counting only the distinct ones).

The product of its digits is 5598720, while the sum is 54.

The square root of 434569968 is about 20846.3418373584. The cubic root of 434569968 is about 757.4487211636.

The spelling of 434569968 in words is "four hundred thirty-four million, five hundred sixty-nine thousand, nine hundred sixty-eight".