434749680 has 200 divisors, whose sum is σ = 1576140192. Its totient is φ = 110854656.

The previous prime is 434749669. The next prime is 434749723. The reversal of 434749680 is 86947434.

434749680 is a `hidden beast` number, since 43 + 47 + 496 + 80 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 147582 + ... + 150498.

Almost surely, 2^434749680 is an apocalyptic number.

434749680 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 434749680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (788070096).

434749680 is an abundant number, since it is smaller than the sum of its proper divisors (1141390512).

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

434749680 is a wasteful number, since it uses less digits than its factorization.

434749680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2965 (or 2950 counting only the distinct ones).

The product of its (nonzero) digits is 580608, while the sum is 45.

The square root of 434749680 is about 20850.6517883734. The cubic root of 434749680 is about 757.5531185180.

The spelling of 434749680 in words is "four hundred thirty-four million, seven hundred forty-nine thousand, six hundred eighty".