434120400 has 540 divisors, whose sum is σ = 1845765792. Its totient is φ = 94026240.

The previous prime is 434120387. The next prime is 434120413. The reversal of 434120400 is 4021434.

It is an interprime number because it is at equal distance from previous prime (434120387) and next prime (434120413).

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 107 ways as a sum of consecutive naturals, for example, 4057147 + ... + 4057253.

Almost surely, 2^434120400 is an apocalyptic number.

434120400 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 434120400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (922882896).

434120400 is an abundant number, since it is smaller than the sum of its proper divisors (1411645392).

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

434120400 is a wasteful number, since it uses less digits than its factorization.

434120400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 168 (or 147 counting only the distinct ones).

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

The square root of 434120400 is about 20835.5561480849. The cubic root of 434120400 is about 757.1874343552.

Adding to 434120400 its reverse (4021434), we get a palindrome (438141834).

The spelling of 434120400 in words is "four hundred thirty-four million, one hundred twenty thousand, four hundred".