429289056 has 144 divisors (see below), whose sum is σ = 1414786464. Its totient is φ = 120932352.

The previous prime is 429289051. The next prime is 429289067. The reversal of 429289056 is 650982924.

It is a tau number, because it is divible by the number of its divisors (144).

It is a super-2 number, since 2×429289056² = 368578187202742272, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (429289051) 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, 145710 + ... + 148626.

It is an arithmetic number, because the mean of its divisors is an integer number (9824906).

Almost surely, 2^429289056 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 429289056, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (707393232).

429289056 is an abundant number, since it is smaller than the sum of its proper divisors (985497408).

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

429289056 is a wasteful number, since it uses less digits than its factorization.

429289056 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3013 (or 3002 counting only the distinct ones).

The product of its (nonzero) digits is 311040, while the sum is 45.

The square root of 429289056 is about 20719.2918797916. The cubic root of 429289056 is about 754.3680257479.

It can be divided in two parts, 42928 and 9056, that added together give a square (51984 = 228²).

The spelling of 429289056 in words is "four hundred twenty-nine million, two hundred eighty-nine thousand, fifty-six".