429940000 has 240 divisors, whose sum is σ = 1256447808. Its totient is φ = 141696000.

The previous prime is 429939967. The next prime is 429940001. The reversal of 429940000 is 49924.

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

It is not an unprimeable number, because it can be changed into a prime (429940001) 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 39 ways as a sum of consecutive naturals, for example, 5179959 + ... + 5180041.

Almost surely, 2^429940000 is an apocalyptic number.

429940000 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 429940000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (628223904).

429940000 is an abundant number, since it is smaller than the sum of its proper divisors (826507808).

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

429940000 is an equidigital number, since it uses as much as digits as its factorization.

429940000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 157 (or 134 counting only the distinct ones).

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

The square root of 429940000 is about 20734.9945743904. The cubic root of 429940000 is about 754.7491235525.

Adding to 429940000 its reverse (49924), we get a palindrome (429989924).

The spelling of 429940000 in words is "four hundred twenty-nine million, nine hundred forty thousand".