434521400 has 48 divisors (see below), whose sum is σ = 1014116640. Its totient is φ = 173145600.

The previous prime is 434521391. The next prime is 434521421. The reversal of 434521400 is 4125434.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 50192 + ... + 58208.

It is an arithmetic number, because the mean of its divisors is an integer number (21127430).

Almost surely, 2^434521400 is an apocalyptic number.

434521400 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 434521400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (507058320).

434521400 is an abundant number, since it is smaller than the sum of its proper divisors (579595240).

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

434521400 is a wasteful number, since it uses less digits than its factorization.

434521400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8304 (or 8295 counting only the distinct ones).

The product of its (nonzero) digits is 1920, while the sum is 23.

The square root of 434521400 is about 20845.1769001848. The cubic root of 434521400 is about 757.4205023552.

Adding to 434521400 its reverse (4125434), we get a palindrome (438646834).

The spelling of 434521400 in words is "four hundred thirty-four million, five hundred twenty-one thousand, four hundred".