434236440 has 256 divisors, whose sum is σ = 1548357120. Its totient is φ = 96215040.

The previous prime is 434236381. The next prime is 434236463. The reversal of 434236440 is 44632434.

It is a super-2 number, since 2×434236440² = 377122571647747200, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 434236398 and 434236407.

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, 830019 + ... + 830541.

It is an arithmetic number, because the mean of its divisors is an integer number (6048270).

Almost surely, 2^434236440 is an apocalyptic number.

434236440 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 434236440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (774178560).

434236440 is an abundant number, since it is smaller than the sum of its proper divisors (1114120680).

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

434236440 is a wasteful number, since it uses less digits than its factorization.

434236440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 602 (or 598 counting only the distinct ones).

The product of its (nonzero) digits is 27648, while the sum is 30.

The square root of 434236440 is about 20838.3406249154. The cubic root of 434236440 is about 757.2548935228.

Adding to 434236440 its reverse (44632434), we get a palindrome (478868874).

The spelling of 434236440 in words is "four hundred thirty-four million, two hundred thirty-six thousand, four hundred forty".