434010240 has 192 divisors, whose sum is σ = 1511640000. Its totient is φ = 114739200.

The previous prime is 434010233. The next prime is 434010263. The reversal of 434010240 is 42010434.

It is a tau number, because it is divible by the number of its divisors (192).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 869511 + ... + 870009.

It is an arithmetic number, because the mean of its divisors is an integer number (7873125).

Almost surely, 2^434010240 is an apocalyptic number.

434010240 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 434010240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (755820000).

434010240 is an abundant number, since it is smaller than the sum of its proper divisors (1077629760).

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

434010240 is a wasteful number, since it uses less digits than its factorization.

434010240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 675 (or 660 counting only the distinct ones).

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

The square root of 434010240 is about 20832.9124224147. The cubic root of 434010240 is about 757.1233823671.

Adding to 434010240 its reverse (42010434), we get a palindrome (476020674).

The spelling of 434010240 in words is "four hundred thirty-four million, ten thousand, two hundred forty".