434113040 has 80 divisors (see below), whose sum is σ = 1061824896. Its totient is φ = 164736000.

The previous prime is 434113039. The next prime is 434113067. The reversal of 434113040 is 40311434.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (80).

It is a Harshad number since it is a multiple of its sum of digits (20).

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, 240140 + ... + 241940.

Almost surely, 2^434113040 is an apocalyptic number.

434113040 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 434113040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (530912448).

434113040 is an abundant number, since it is smaller than the sum of its proper divisors (627711856).

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

434113040 is a wasteful number, since it uses less digits than its factorization.

434113040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1968 (or 1962 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 20.

The square root of 434113040 is about 20835.3795261809. The cubic root of 434113040 is about 757.1831552574.

Adding to 434113040 its reverse (40311434), we get a palindrome (474424474).

The spelling of 434113040 in words is "four hundred thirty-four million, one hundred thirteen thousand, forty".