434265400 has 48 divisors (see below), whose sum is σ = 1014109200. Its totient is φ = 172942080.

The previous prime is 434265373. The next prime is 434265409. The reversal of 434265400 is 4562434.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (434265409) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 41941 + ... + 51259.

It is an arithmetic number, because the mean of its divisors is an integer number (21127275).

Almost surely, 2^434265400 is an apocalyptic number.

434265400 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 434265400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (507054600).

434265400 is an abundant number, since it is smaller than the sum of its proper divisors (579843800).

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

434265400 is a wasteful number, since it uses less digits than its factorization.

434265400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9568 (or 9559 counting only the distinct ones).

The product of its (nonzero) digits is 11520, while the sum is 28.

The square root of 434265400 is about 20839.0354863175. The cubic root of 434265400 is about 757.2717273735.

The spelling of 434265400 in words is "four hundred thirty-four million, two hundred sixty-five thousand, four hundred".