429506897344 has 448 divisors, whose sum is σ = 1112530728960. Its totient is φ = 160287621120.

The previous prime is 429506897329. The next prime is 429506897383. The reversal of 429506897344 is 443798605924.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (448).

It is a congruent number.

It is an unprimeable number.

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 63 ways as a sum of consecutive naturals, for example, 585957202 + ... + 585957934.

It is an arithmetic number, because the mean of its divisors is an integer number (2483327520).

Almost surely, 2^429506897344 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 429506897344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (556265364480).

429506897344 is an abundant number, since it is smaller than the sum of its proper divisors (683023831616).

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

429506897344 is a wasteful number, since it uses less digits than its factorization.

429506897344 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 908 (or 898 counting only the distinct ones).

The product of its (nonzero) digits is 52254720, while the sum is 61.

The spelling of 429506897344 in words is "four hundred twenty-nine billion, five hundred six million, eight hundred ninety-seven thousand, three hundred forty-four".