430725120 has 192 divisors, whose sum is σ = 1575624960. Its totient is φ = 98402304.

The previous prime is 430725077. The next prime is 430725133. The reversal of 430725120 is 21527034.

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 (24).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 214039 + ... + 216041.

It is an arithmetic number, because the mean of its divisors is an integer number (8206380).

Almost surely, 2^430725120 is an apocalyptic number.

430725120 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 430725120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (787812480).

430725120 is an abundant number, since it is smaller than the sum of its proper divisors (1144899840).

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

430725120 is a wasteful number, since it uses less digits than its factorization.

430725120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2040 (or 2020 counting only the distinct ones).

The product of its (nonzero) digits is 1680, while the sum is 24.

The square root of 430725120 is about 20753.9181842851. The cubic root of 430725120 is about 755.2082638184.

The spelling of 430725120 in words is "four hundred thirty million, seven hundred twenty-five thousand, one hundred twenty".