434119680 has 132 divisors (see below), whose sum is σ = 1504373052. Its totient is φ = 115752960.

The previous prime is 434119639. The next prime is 434119681. The reversal of 434119680 is 86911434.

It can be written as a sum of positive squares in 2 ways, for example, as 148644864 + 285474816 = 12192^2 + 16896^2 .

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

It is not an unprimeable number, because it can be changed into a prime (434119681) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 41370 + ... + 50790.

Almost surely, 2^434119680 is an apocalyptic number.

434119680 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 434119680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (752186526).

434119680 is an abundant number, since it is smaller than the sum of its proper divisors (1070253372).

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

434119680 is a wasteful number, since it uses less digits than its factorization.

434119680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9452 (or 9431 counting only the distinct ones).

The product of its (nonzero) digits is 20736, while the sum is 36.

The square root of 434119680 is about 20835.5388699213. The cubic root of 434119680 is about 757.1870157500.

The spelling of 434119680 in words is "four hundred thirty-four million, one hundred nineteen thousand, six hundred eighty".