434204420400 has 300 divisors, whose sum is σ = 1567904166312. Its totient is φ = 115076090880.

The previous prime is 434204420387. The next prime is 434204420431. The reversal of 434204420400 is 4024402434.

It is a happy number.

434204420400 is a `hidden beast` number, since 4 + 34 + 204 + 4 + 20 + 400 = 666.

It is a tau number, because it is divible by the number of its divisors (300).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 5240092 + ... + 5322308.

Almost surely, 2^434204420400 is an apocalyptic number.

434204420400 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 434204420400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (783952083156).

434204420400 is an abundant number, since it is smaller than the sum of its proper divisors (1133699745912).

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

434204420400 is a wasteful number, since it uses less digits than its factorization.

434204420400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 82410 (or 82390 counting only the distinct ones).

The product of its (nonzero) digits is 12288, while the sum is 27.

Adding to 434204420400 its reverse (4024402434), we get a palindrome (438228822834).

The spelling of 434204420400 in words is "four hundred thirty-four billion, two hundred four million, four hundred twenty thousand, four hundred".