434777640 has 128 divisors (see below), whose sum is σ = 1430161920. Its totient is φ = 104864000.

The previous prime is 434777633. The next prime is 434777647. The reversal of 434777640 is 46777434.

It is an interprime number because it is at equal distance from previous prime (434777633) and next prime (434777647).

It is a junction number, because it is equal to n+sod(n) for n = 434777592 and 434777601.

It is not an unprimeable number, because it can be changed into a prime (434777647) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 298915 + ... + 300365.

It is an arithmetic number, because the mean of its divisors is an integer number (11173140).

Almost surely, 2^434777640 is an apocalyptic number.

434777640 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 434777640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (715080960).

434777640 is an abundant number, since it is smaller than the sum of its proper divisors (995384280).

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

434777640 is a wasteful number, since it uses less digits than its factorization.

434777640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1703 (or 1699 counting only the distinct ones).

The product of its (nonzero) digits is 395136, while the sum is 42.

The square root of 434777640 is about 20851.3222602309. The cubic root of 434777640 is about 757.5693583085.

The spelling of 434777640 in words is "four hundred thirty-four million, seven hundred seventy-seven thousand, six hundred forty".