434257920 has 360 divisors, whose sum is σ = 1635728640. Its totient is φ = 106168320.

The previous prime is 434257829. The next prime is 434257921. The reversal of 434257920 is 29752434.

434257920 is a `hidden beast` number, since 43 + 42 + 579 + 2 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (360).

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 (434257921) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 14008305 + ... + 14008335.

Almost surely, 2^434257920 is an apocalyptic number.

434257920 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 434257920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (817864320).

434257920 is an abundant number, since it is smaller than the sum of its proper divisors (1201470720).

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

434257920 is a wasteful number, since it uses less digits than its factorization.

434257920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 89 (or 60 counting only the distinct ones).

The product of its (nonzero) digits is 60480, while the sum is 36.

The square root of 434257920 is about 20838.8560146664. The cubic root of 434257920 is about 757.2673794754.

The spelling of 434257920 in words is "four hundred thirty-four million, two hundred fifty-seven thousand, nine hundred twenty".