430705920 has 72 divisors (see below), whose sum is σ = 1375579296. Its totient is φ = 114853888.

The previous prime is 430705903. The next prime is 430705921. The reversal of 430705920 is 29507034.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (430705921) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 52242 + ... + 59921.

It is an arithmetic number, because the mean of its divisors is an integer number (19105268).

Almost surely, 2^430705920 is an apocalyptic number.

430705920 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

430705920 is an abundant number, since it is smaller than the sum of its proper divisors (944873376).

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

430705920 is a wasteful number, since it uses less digits than its factorization.

430705920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 112187 (or 112173 counting only the distinct ones).

The product of its (nonzero) digits is 7560, while the sum is 30.

The square root of 430705920 is about 20753.4556158727. The cubic root of 430705920 is about 755.1970422655.

The spelling of 430705920 in words is "four hundred thirty million, seven hundred five thousand, nine hundred twenty".