429680640 has 192 divisors, whose sum is σ = 1401079680. Its totient is φ = 112394240.

The previous prime is 429680633. The next prime is 429680717. The reversal of 429680640 is 46086924.

It is a tau number, because it is divible by the number of its divisors (192).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2181022 + ... + 2181218.

It is an arithmetic number, because the mean of its divisors is an integer number (7297290).

Almost surely, 2^429680640 is an apocalyptic number.

429680640 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 429680640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (700539840).

429680640 is an abundant number, since it is smaller than the sum of its proper divisors (971399040).

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

429680640 is a wasteful number, since it uses less digits than its factorization.

429680640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 298 (or 278 counting only the distinct ones).

The product of its (nonzero) digits is 82944, while the sum is 39.

The square root of 429680640 is about 20728.7394696349. The cubic root of 429680640 is about 754.5973263187.

It can be divided in two parts, 4296806 and 40, that added together give a triangular number (4296846 = T₂₉₃₁).

The spelling of 429680640 in words is "four hundred twenty-nine million, six hundred eighty thousand, six hundred forty".