429027552 has 72 divisors (see below), whose sum is σ = 1230937344. Its totient is φ = 141732864.

The previous prime is 429027539. The next prime is 429027563. The reversal of 429027552 is 255720924.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (72).

It is a super-2 number, since 2×429027552² = 368129280750225408, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 25953 + ... + 39135.

It is an arithmetic number, because the mean of its divisors is an integer number (17096352).

Almost surely, 2^429027552 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 429027552, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (615468672).

429027552 is an abundant number, since it is smaller than the sum of its proper divisors (801909792).

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

429027552 is a wasteful number, since it uses less digits than its factorization.

429027552 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13312 (or 13301 counting only the distinct ones).

The product of its (nonzero) digits is 50400, while the sum is 36.

The square root of 429027552 is about 20712.9802780768. The cubic root of 429027552 is about 754.2148187007.

The spelling of 429027552 in words is "four hundred twenty-nine million, twenty-seven thousand, five hundred fifty-two".