429679040 has 168 divisors, whose sum is σ = 1210939920. Its totient is φ = 144764928.

The previous prime is 429679027. The next prime is 429679049. The reversal of 429679040 is 40976924.

429679040 is digitally balanced in base 6, because in such base it contains all the possibile digits an equal number of times.

It is a zygodrome in base 2.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (429679049) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1050356 + ... + 1050764.

Almost surely, 2^429679040 is an apocalyptic number.

429679040 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 429679040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (605469960).

429679040 is an abundant number, since it is smaller than the sum of its proper divisors (781260880).

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

429679040 is a wasteful number, since it uses less digits than its factorization.

429679040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 507 (or 490 counting only the distinct ones).

The product of its (nonzero) digits is 108864, while the sum is 41.

The square root of 429679040 is about 20728.7008758388. The cubic root of 429679040 is about 754.5963896872.

The spelling of 429679040 in words is "four hundred twenty-nine million, six hundred seventy-nine thousand, forty".