434831040 has 168 divisors, whose sum is σ = 1709379360. Its totient is φ = 99385344.

The previous prime is 434831029. The next prime is 434831053. The reversal of 434831040 is 40138434.

434831040 is a `hidden beast` number, since 4 + 348 + 310 + 4 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (168).

It is a junction number, because it is equal to n+sod(n) for n = 434830995 and 434831013.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 9376 + ... + 30944.

Almost surely, 2^434831040 is an apocalyptic number.

434831040 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 434831040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (854689680).

434831040 is an abundant number, since it is smaller than the sum of its proper divisors (1274548320).

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

434831040 is a wasteful number, since it uses less digits than its factorization.

434831040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 21599 (or 21586 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 27.

The square root of 434831040 is about 20852.6027152488. The cubic root of 434831040 is about 757.6003722827.

Adding to 434831040 its reverse (40138434), we get a palindrome (474969474).

The spelling of 434831040 in words is "four hundred thirty-four million, eight hundred thirty-one thousand, forty".