434838240 has 384 divisors, whose sum is σ = 1672151040. Its totient is φ = 105062400.

The previous prime is 434838233. The next prime is 434838259. The reversal of 434838240 is 42838434.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 434838195 and 434838204.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 2276545 + ... + 2276735.

It is an arithmetic number, because the mean of its divisors is an integer number (4354560).

Almost surely, 2^434838240 is an apocalyptic number.

434838240 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 434838240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (836075520).

434838240 is an abundant number, since it is smaller than the sum of its proper divisors (1237312800).

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

434838240 is a wasteful number, since it uses less digits than its factorization.

434838240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 263 (or 249 counting only the distinct ones).

The product of its (nonzero) digits is 73728, while the sum is 36.

The square root of 434838240 is about 20852.7753548538. The cubic root of 434838240 is about 757.6045537479.

The spelling of 434838240 in words is "four hundred thirty-four million, eight hundred thirty-eight thousand, two hundred forty".