434212640 has 96 divisors (see below), whose sum is σ = 1104398064. Its totient is φ = 160727040.

The previous prime is 434212553. The next prime is 434212661. The reversal of 434212640 is 46212434.

It can be written as a sum of positive squares in 8 ways, for example, as 255616144 + 178596496 = 15988^2 + 13364^2 .

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 164612 + ... + 167228.

Almost surely, 2^434212640 is an apocalyptic number.

434212640 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 434212640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (552199032).

434212640 is an abundant number, since it is smaller than the sum of its proper divisors (670185424).

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

434212640 is a wasteful number, since it uses less digits than its factorization.

434212640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2710 (or 2702 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 26.

The square root of 434212640 is about 20837.7695543453. The cubic root of 434212640 is about 757.2410585133.

The spelling of 434212640 in words is "four hundred thirty-four million, two hundred twelve thousand, six hundred forty".