434414240 has 96 divisors (see below), whose sum is σ = 1120782096. Its totient is φ = 158146560.

The previous prime is 434414237. The next prime is 434414263. The reversal of 434414240 is 42414434.

It is a happy number.

It can be written as a sum of positive squares in 8 ways, for example, as 131515024 + 302899216 = 11468^2 + 17404^2 .

It is a Harshad number since it is a multiple of its sum of digits (26).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 150410 + ... + 153270.

Almost surely, 2^434414240 is an apocalyptic number.

434414240 is a gapful number since it is divisible by the number (40) 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 434414240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (560391048).

434414240 is an abundant number, since it is smaller than the sum of its proper divisors (686367856).

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

434414240 is a wasteful number, since it uses less digits than its factorization.

434414240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2962 (or 2954 counting only the distinct ones).

The product of its (nonzero) digits is 6144, while the sum is 26.

The square root of 434414240 is about 20842.6063629288. The cubic root of 434414240 is about 757.3582331902.

Adding to 434414240 its reverse (42414434), we get a palindrome (476828674).

The spelling of 434414240 in words is "four hundred thirty-four million, four hundred fourteen thousand, two hundred forty".