434021400 has 144 divisors (see below), whose sum is σ = 1472368560. Its totient is φ = 114566400.

The previous prime is 434021387. The next prime is 434021437. The reversal of 434021400 is 4120434.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 184230 + ... + 186570.

Almost surely, 2^434021400 is an apocalyptic number.

434021400 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 434021400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (736184280).

434021400 is an abundant number, since it is smaller than the sum of its proper divisors (1038347160).

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

434021400 is a wasteful number, since it uses less digits than its factorization.

434021400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2466 (or 2454 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 18.

The square root of 434021400 is about 20833.1802661044. The cubic root of 434021400 is about 757.1298717873.

Adding to 434021400 its reverse (4120434), we get a palindrome (438141834).

The spelling of 434021400 in words is "four hundred thirty-four million, twenty-one thousand, four hundred".