429456 has 40 divisors (see below), whose sum is σ = 1160640. Its totient is φ = 136576.

The previous prime is 429449. The next prime is 429463. The reversal of 429456 is 654924.

429456 = T₁₁₃ + T₁₁₄ + ... + T₁₅₈.

429456 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (429449) and next prime (429463).

It is a hoax number, since the sum of its digits (30) coincides with the sum of the digits of its distinct prime factors.

It is an unprimeable number.

429456 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 910 + ... + 1298.

It is an arithmetic number, because the mean of its divisors is an integer number (29016).

2⁴²⁹⁴⁵⁶ is an apocalyptic number.

429456 is a gapful number since it is divisible by the number (46) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 429456, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (580320).

429456 is an abundant number, since it is smaller than the sum of its proper divisors (731184).

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

429456 is a wasteful number, since it uses less digits than its factorization.

429456 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 423 (or 417 counting only the distinct ones).

The product of its digits is 8640, while the sum is 30.

The square root of 429456 is about 655.3289250445. The cubic root of 429456 is about 75.4465800501.

The spelling of 429456 in words is "four hundred twenty-nine thousand, four hundred fifty-six".