429940 has 48 divisors (see below), whose sum is σ = 1072512. Its totient is φ = 141696.

The previous prime is 429937. The next prime is 429943. The reversal of 429940 is 49924.

It is an interprime number because it is at equal distance from previous prime (429937) and next prime (429943).

It is a Harshad number since it is a multiple of its sum of digits (28).

It is a junction number, because it is equal to n+sod(n) for n = 429899 and 429908.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (429943) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 5139 + ... + 5221.

It is an arithmetic number, because the mean of its divisors is an integer number (22344).

2⁴²⁹⁹⁴⁰ is an apocalyptic number.

429940 is the 415-th heptagonal number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 429940, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (536256).

429940 is an abundant number, since it is smaller than the sum of its proper divisors (642572).

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

429940 is a wasteful number, since it uses less digits than its factorization.

429940 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 136 (or 134 counting only the distinct ones).

The product of its (nonzero) digits is 2592, while the sum is 28.

The square root of 429940 is about 655.6981012631. The cubic root of 429940 is about 75.4749123552.

It can be divided in two parts, 429 and 940, that added together give a square (1369 = 37²).

The spelling of 429940 in words is "four hundred twenty-nine thousand, nine hundred forty".