434051010 has 144 divisors (see below), whose sum is σ = 1225673280. Its totient is φ = 106272000.

The previous prime is 434051003. The next prime is 434051011. The reversal of 434051010 is 10150434.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is not an unprimeable number, because it can be changed into a prime (434051011) by changing a digit.

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 71 ways as a sum of consecutive naturals, for example, 2874435 + ... + 2874585.

It is an arithmetic number, because the mean of its divisors is an integer number (8511620).

Almost surely, 2^434051010 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 434051010, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (612836640).

434051010 is an abundant number, since it is smaller than the sum of its proper divisors (791622270).

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

434051010 is a wasteful number, since it uses less digits than its factorization.

434051010 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 265 (or 221 counting only the distinct ones).

The product of its (nonzero) digits is 240, while the sum is 18.

The square root of 434051010 is about 20833.8908992056. The cubic root of 434051010 is about 757.1470891455.

The spelling of 434051010 in words is "four hundred thirty-four million, fifty-one thousand, ten".