434101120 has 96 divisors (see below), whose sum is σ = 1102879080. Its totient is φ = 163356672.

The previous prime is 434101097. The next prime is 434101121. The reversal of 434101120 is 21101434.

It is a Harshad number since it is a multiple of its sum of digits (16).

It is a junction number, because it is equal to n+sod(n) for n = 434101094 and 434101103.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (434101121) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 183787 + ... + 186133.

Almost surely, 2^434101120 is an apocalyptic number.

434101120 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 434101120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (551439540).

434101120 is an abundant number, since it is smaller than the sum of its proper divisors (668777960).

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

434101120 is a wasteful number, since it uses less digits than its factorization.

434101120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2400 (or 2371 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 16.

The square root of 434101120 is about 20835.0934723125. The cubic root of 434101120 is about 757.1762248767.

Adding to 434101120 its reverse (21101434), we get a palindrome (455202554).

The spelling of 434101120 in words is "four hundred thirty-four million, one hundred one thousand, one hundred twenty".