429090944 has 48 divisors (see below), whose sum is σ = 893753070. Its totient is φ = 205185024.

The previous prime is 429090943. The next prime is 429090947. The reversal of 429090944 is 449090924.

It can be written as a sum of positive squares in only one way, i.e., 387617344 + 41473600 = 19688^2 + 6440^2 .

It is a super-2 number, since 2×429090944² = 368238076445622272, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (429090941) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 64544 + ... + 70880.

Almost surely, 2^429090944 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 429090944, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (446876535).

429090944 is an abundant number, since it is smaller than the sum of its proper divisors (464662126).

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

429090944 is an equidigital number, since it uses as much as digits as its factorization.

429090944 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6397 (or 6362 counting only the distinct ones).

The product of its (nonzero) digits is 93312, while the sum is 41.

The square root of 429090944 is about 20714.5104697166. The cubic root of 429090944 is about 754.2519638141.

It can be divided in two parts, 429090 and 944, that added together give a palindrome (430034).

The spelling of 429090944 in words is "four hundred twenty-nine million, ninety thousand, nine hundred forty-four".