434774340 has 576 divisors, whose sum is σ = 1878589440. Its totient is φ = 78382080.

The previous prime is 434774339. The next prime is 434774341. The reversal of 434774340 is 43477434.

It is an interprime number because it is at equal distance from previous prime (434774339) and next prime (434774341).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 434774295 and 434774304.

It is not an unprimeable number, because it can be changed into a prime (434774341) by changing a digit.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 3423357 + ... + 3423483.

It is an arithmetic number, because the mean of its divisors is an integer number (3261440).

Almost surely, 2^434774340 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 434774340, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (939294720).

434774340 is an abundant number, since it is smaller than the sum of its proper divisors (1443815100).

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

434774340 is a wasteful number, since it uses less digits than its factorization.

434774340 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 192 (or 187 counting only the distinct ones).

The product of its (nonzero) digits is 112896, while the sum is 36.

The square root of 434774340 is about 20851.2431284084. The cubic root of 434774340 is about 757.5674416312.

It can be divided in two parts, 4347 and 74340, that added together give a palindrome (78687).

The spelling of 434774340 in words is "four hundred thirty-four million, seven hundred seventy-four thousand, three hundred forty".