429400 has 48 divisors (see below), whose sum is σ = 1060200. Its totient is φ = 161280.

The previous prime is 429397. The next prime is 429409. The reversal of 429400 is 4924.

429400 = 46³ + 47³ + ... + 49³.

It is a Harshad number since it is a multiple of its sum of digits (19).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (429409) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 3744 + ... + 3856.

2⁴²⁹⁴⁰⁰ is an apocalyptic number.

429400 is a gapful number since it is divisible by the number (40) 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 429400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (530100).

429400 is an abundant number, since it is smaller than the sum of its proper divisors (630800).

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

429400 is a wasteful number, since it uses less digits than its factorization.

429400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 148 (or 139 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 19.

The square root of 429400 is about 655.2861970162. The cubic root of 429400 is about 75.4433005584.

The spelling of 429400 in words is "four hundred twenty-nine thousand, four hundred".