434868432 has 80 divisors (see below), whose sum is σ = 1193316480. Its totient is φ = 135991296.

The previous prime is 434868431. The next prime is 434868433. The reversal of 434868432 is 234868434.

It is an interprime number because it is at equal distance from previous prime (434868431) and next prime (434868433).

It is a super-2 number, since 2×434868432² = 378221106300277248, which contains 22 as substring.

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 (434868431) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 333093 + ... + 334395.

It is an arithmetic number, because the mean of its divisors is an integer number (14916456).

Almost surely, 2^434868432 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 434868432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (596658240).

434868432 is an abundant number, since it is smaller than the sum of its proper divisors (758448048).

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

434868432 is a wasteful number, since it uses less digits than its factorization.

434868432 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1740 (or 1734 counting only the distinct ones).

The product of its digits is 442368, while the sum is 42.

The square root of 434868432 is about 20853.4992747021. The cubic root of 434868432 is about 757.6220875227.

The spelling of 434868432 in words is "four hundred thirty-four million, eight hundred sixty-eight thousand, four hundred thirty-two".