429970565952 has 140 divisors (see below), whose sum is σ = 1275570105700. Its totient is φ = 143210778624.

The previous prime is 429970565933. The next prime is 429970565971. The reversal of 429970565952 is 259565079924.

429970565952 is a `hidden beast` number, since 429 + 9 + 70 + 56 + 5 + 95 + 2 = 666.

It is an interprime number because it is at equal distance from previous prime (429970565933) and next prime (429970565971).

It can be written as a sum of positive squares in 2 ways, for example, as 390395033856 + 39575532096 = 624816^2 + 198936^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 429970565952.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 6691674 + ... + 6755622.

Almost surely, 2^429970565952 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 429970565952, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (637785052850).

429970565952 is an abundant number, since it is smaller than the sum of its proper divisors (845599539748).

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

429970565952 is a wasteful number, since it uses less digits than its factorization.

429970565952 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 65270 (or 65251 counting only the distinct ones).

The product of its (nonzero) digits is 61236000, while the sum is 63.

The spelling of 429970565952 in words is "four hundred twenty-nine billion, nine hundred seventy million, five hundred sixty-five thousand, nine hundred fifty-two".