434939040 has 144 divisors (see below), whose sum is σ = 1490082048. Its totient is φ = 115527168.

The previous prime is 434938997. The next prime is 434939047. The reversal of 434939040 is 40939434.

434939040 is a `hidden beast` number, since 43 + 493 + 90 + 40 = 666.

It is a tau number, because it is divible by the number of its divisors (144).

It is a super-2 number, since 2×434939040² = 378343937032243200, which contains 22 as substring.

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 = 434938986 and 434939004.

It is not an unprimeable number, because it can be changed into a prime (434939047) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 528069 + ... + 528891.

It is an arithmetic number, because the mean of its divisors is an integer number (10347792).

Almost surely, 2^434939040 is an apocalyptic number.

434939040 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 434939040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (745041024).

434939040 is an abundant number, since it is smaller than the sum of its proper divisors (1055143008).

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

434939040 is a wasteful number, since it uses less digits than its factorization.

434939040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1211 (or 1200 counting only the distinct ones).

The product of its (nonzero) digits is 46656, while the sum is 36.

The square root of 434939040 is about 20855.1921592682. The cubic root of 434939040 is about 757.6630894147.

The spelling of 434939040 in words is "four hundred thirty-four million, nine hundred thirty-nine thousand, forty".