430772112 has 120 divisors (see below), whose sum is σ = 1286134200. Its totient is φ = 134123520.

The previous prime is 430772099. The next prime is 430772113. The reversal of 430772112 is 211277034.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 125081856 + 305690256 = 11184^2 + 17484^2 .

It is a super-2 number, since 2×430772112² = 371129224953881088, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (430772113) 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, 364162 + ... + 365342.

It is an arithmetic number, because the mean of its divisors is an integer number (10717785).

Almost surely, 2^430772112 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 430772112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (643067100).

430772112 is an abundant number, since it is smaller than the sum of its proper divisors (855362088).

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

430772112 is a wasteful number, since it uses less digits than its factorization.

430772112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1361 (or 1352 counting only the distinct ones).

The product of its (nonzero) digits is 2352, while the sum is 27.

The square root of 430772112 is about 20755.0502769808. The cubic root of 430772112 is about 755.2357271622.

The spelling of 430772112 in words is "four hundred thirty million, seven hundred seventy-two thousand, one hundred twelve".