429645925352 has 128 divisors (see below), whose sum is σ = 977909760000. Its totient is φ = 172978561536.

The previous prime is 429645925339. The next prime is 429645925409. The reversal of 429645925352 is 253529546924.

It is a happy number.

It is a super-3 number, since 3×429645925352³ (a number of 36 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (56).

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 109350524 + ... + 109354452.

It is an arithmetic number, because the mean of its divisors is an integer number (7639920000).

Almost surely, 2^429645925352 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 429645925352, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (488954880000).

429645925352 is an abundant number, since it is smaller than the sum of its proper divisors (548263834648).

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

429645925352 is a wasteful number, since it uses less digits than its factorization.

429645925352 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5463 (or 5459 counting only the distinct ones).

The product of its digits is 23328000, while the sum is 56.

The spelling of 429645925352 in words is "four hundred twenty-nine billion, six hundred forty-five million, nine hundred twenty-five thousand, three hundred fifty-two".