429649152 has 144 divisors (see below), whose sum is σ = 1200890880. Its totient is φ = 136192000.

The previous prime is 429649141. The next prime is 429649189. The reversal of 429649152 is 251946924.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2249377 + ... + 2249567.

It is an arithmetic number, because the mean of its divisors is an integer number (8339520).

Almost surely, 2^429649152 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 429649152, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (600445440).

429649152 is an abundant number, since it is smaller than the sum of its proper divisors (771241728).

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

429649152 is a wasteful number, since it uses less digits than its factorization.

429649152 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 340 (or 326 counting only the distinct ones).

The product of its digits is 155520, while the sum is 42.

The square root of 429649152 is about 20727.9799305190. The cubic root of 429649152 is about 754.5788929840.

The spelling of 429649152 in words is "four hundred twenty-nine million, six hundred forty-nine thousand, one hundred fifty-two".