424128960 has 140 divisors (see below), whose sum is σ = 1508793528. Its totient is φ = 113094144.

The previous prime is 424128941. The next prime is 424128977. The reversal of 424128960 is 69821424.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 17739 + ... + 34101.

Almost surely, 2^424128960 is an apocalyptic number.

424128960 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 424128960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (754396764).

424128960 is an abundant number, since it is smaller than the sum of its proper divisors (1084664568).

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

424128960 is a wasteful number, since it uses less digits than its factorization.

424128960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16392 (or 16373 counting only the distinct ones).

The product of its (nonzero) digits is 27648, while the sum is 36.

The square root of 424128960 is about 20594.3914695239. The cubic root of 424128960 is about 751.3333083140. Note that the first 4 decimals are identical.

The spelling of 424128960 in words is "four hundred twenty-four million, one hundred twenty-eight thousand, nine hundred sixty".