430191972 has 180 divisors, whose sum is σ = 1328638080. Its totient is φ = 121356144.

The previous prime is 430191961. The next prime is 430191973. The reversal of 430191972 is 279191034.

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

It is not an unprimeable number, because it can be changed into a prime (430191973) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 5445429 + ... + 5445507.

Almost surely, 2^430191972 is an apocalyptic number.

430191972 is a gapful number since it is divisible by the number (42) 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 430191972, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (664319040).

430191972 is an abundant number, since it is smaller than the sum of its proper divisors (898446108).

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

430191972 is an frugal number, since it uses more digits than its factorization.

430191972 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 130 (or 91 counting only the distinct ones).

The product of its (nonzero) digits is 13608, while the sum is 36.

The square root of 430191972 is about 20741.0696927618. The cubic root of 430191972 is about 754.8965383131.

The spelling of 430191972 in words is "four hundred thirty million, one hundred ninety-one thousand, nine hundred seventy-two".