429421440 has 256 divisors, whose sum is σ = 1586304000. Its totient is φ = 96780288.

The previous prime is 429421439. The next prime is 429421463. The reversal of 429421440 is 44124924.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a zygodrome in base 2.

It is a junction number, because it is equal to n+sod(n) for n = 429421398 and 429421407.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1195981 + ... + 1196339.

It is an arithmetic number, because the mean of its divisors is an integer number (6196500).

Almost surely, 2^429421440 is an apocalyptic number.

429421440 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 429421440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (793152000).

429421440 is an abundant number, since it is smaller than the sum of its proper divisors (1156882560).

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

429421440 is a wasteful number, since it uses less digits than its factorization.

429421440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 477 (or 465 counting only the distinct ones).

The product of its (nonzero) digits is 9216, while the sum is 30.

The square root of 429421440 is about 20722.4863373100. The cubic root of 429421440 is about 754.4455616890.

The spelling of 429421440 in words is "four hundred twenty-nine million, four hundred twenty-one thousand, four hundred forty".