434689040 has 80 divisors (see below), whose sum is σ = 1037866608. Its totient is φ = 169248768.

The previous prime is 434688979. The next prime is 434689043. The reversal of 434689040 is 40986434.

It can be written as a sum of positive squares in 8 ways, for example, as 17875984 + 416813056 = 4228^2 + 20416^2 .

It is a tau number, because it is divible by the number of its divisors (80).

It is a super-2 number, since 2×434689040² = 377909122992243200, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 434688985 and 434689003.

It is not an unprimeable number, because it can be changed into a prime (434689043) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 665354 + ... + 666006.

Almost surely, 2^434689040 is an apocalyptic number.

434689040 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 434689040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (518933304).

434689040 is an abundant number, since it is smaller than the sum of its proper divisors (603177568).

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

434689040 is a wasteful number, since it uses less digits than its factorization.

434689040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 876 (or 870 counting only the distinct ones).

The product of its (nonzero) digits is 82944, while the sum is 38.

The square root of 434689040 is about 20849.1975864780. The cubic root of 434689040 is about 757.5178950632.

The spelling of 434689040 in words is "four hundred thirty-four million, six hundred eighty-nine thousand, forty".