434278260 has 240 divisors, whose sum is σ = 1554726096. Its totient is φ = 100528128.

The previous prime is 434278189. The next prime is 434278283. The reversal of 434278260 is 62872434.

It can be written as a sum of positive squares in 8 ways, for example, as 68856804 + 365421456 = 8298^2 + 19116^2 .

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 357414 + ... + 358626.

Almost surely, 2^434278260 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 434278260, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (777363048).

434278260 is an abundant number, since it is smaller than the sum of its proper divisors (1120447836).

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

434278260 is a wasteful number, since it uses less digits than its factorization.

434278260 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1264 (or 1253 counting only the distinct ones).

The product of its (nonzero) digits is 64512, while the sum is 36.

The square root of 434278260 is about 20839.3440395805. The cubic root of 434278260 is about 757.2792023863.

The spelling of 434278260 in words is "four hundred thirty-four million, two hundred seventy-eight thousand, two hundred sixty".