430825920 has 224 divisors, whose sum is σ = 1590422016. Its totient is φ = 96768000.

The previous prime is 430825897. The next prime is 430825937. The reversal of 430825920 is 29528034.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (224).

It is a super-2 number, since 2×430825920² = 371221946687692800, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 409395 + ... + 410445.

Almost surely, 2^430825920 is an apocalyptic number.

430825920 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 430825920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (795211008).

430825920 is an abundant number, since it is smaller than the sum of its proper divisors (1159596096).

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

430825920 is a wasteful number, since it uses less digits than its factorization.

430825920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1139 (or 1129 counting only the distinct ones).

The product of its (nonzero) digits is 17280, while the sum is 33.

The square root of 430825920 is about 20756.3464993240. The cubic root of 430825920 is about 755.2671715006.

The spelling of 430825920 in words is "four hundred thirty million, eight hundred twenty-five thousand, nine hundred twenty".