434442040 has 64 divisors (see below), whose sum is σ = 1014508800. Its totient is φ = 167236608.

The previous prime is 434442031. The next prime is 434442067. The reversal of 434442040 is 40244434.

It is a super-2 number, since 2×434442040² = 377479772238723200, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 434441996 and 434442014.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 703812 + ... + 704428.

It is an arithmetic number, because the mean of its divisors is an integer number (15851700).

Almost surely, 2^434442040 is an apocalyptic number.

434442040 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 434442040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (507254400).

434442040 is an abundant number, since it is smaller than the sum of its proper divisors (580066760).

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

434442040 is a wasteful number, since it uses less digits than its factorization.

434442040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1264 (or 1260 counting only the distinct ones).

The product of its (nonzero) digits is 6144, while the sum is 25.

The square root of 434442040 is about 20843.2732554174. The cubic root of 434442040 is about 757.3743883618.

Adding to 434442040 its reverse (40244434), we get a palindrome (474686474).

The spelling of 434442040 in words is "four hundred thirty-four million, four hundred forty-two thousand, forty".