434460672 has 192 divisors, whose sum is σ = 1316296800. Its totient is φ = 143327232.

The previous prime is 434460671. The next prime is 434460679. The reversal of 434460672 is 276064434.

434460672 is a `hidden beast` number, since 4 + 3 + 44 + 606 + 7 + 2 = 666.

It is a tau number, because it is divible by the number of its divisors (192).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (434460671) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 4478928 + ... + 4479024.

Almost surely, 2^434460672 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 434460672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (658148400).

434460672 is an abundant number, since it is smaller than the sum of its proper divisors (881836128).

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

434460672 is an frugal number, since it uses more digits than its factorization.

434460672 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 140 (or 102 counting only the distinct ones).

The product of its (nonzero) digits is 96768, while the sum is 36.

The square root of 434460672 is about 20843.7202053760. The cubic root of 434460672 is about 757.3852154278.

The spelling of 434460672 in words is "four hundred thirty-four million, four hundred sixty thousand, six hundred seventy-two".