434421600 has 144 divisors (see below), whose sum is σ = 1459906560. Its totient is φ = 112089600.

The previous prime is 434421599. The next prime is 434421601. The reversal of 434421600 is 6124434.

It is an interprime number because it is at equal distance from previous prime (434421599) and next prime (434421601).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (434421601) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 71481 + ... + 77319.

It is an arithmetic number, because the mean of its divisors is an integer number (10138240).

Almost surely, 2^434421600 is an apocalyptic number.

434421600 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 434421600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (729953280).

434421600 is an abundant number, since it is smaller than the sum of its proper divisors (1025484960).

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

434421600 is a wasteful number, since it uses less digits than its factorization.

434421600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5893 (or 5880 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 24.

The square root of 434421600 is about 20842.7829235925. The cubic root of 434421600 is about 757.3625103099.

The spelling of 434421600 in words is "four hundred thirty-four million, four hundred twenty-one thousand, six hundred".