428414040 has 96 divisors (see below), whose sum is σ = 1395014400. Its totient is φ = 114024960.

The previous prime is 428414039. The next prime is 428414069. The reversal of 428414040 is 40414824.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 428413995 and 428414013.

It is a congruent number.

It is an unprimeable number.

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 23 ways as a sum of consecutive naturals, for example, 290505 + ... + 291975.

It is an arithmetic number, because the mean of its divisors is an integer number (14531400).

Almost surely, 2^428414040 is an apocalyptic number.

428414040 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 428414040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (697507200).

428414040 is an abundant number, since it is smaller than the sum of its proper divisors (966600360).

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

428414040 is a wasteful number, since it uses less digits than its factorization.

428414040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2297 (or 2290 counting only the distinct ones).

The product of its (nonzero) digits is 4096, while the sum is 27.

The square root of 428414040 is about 20698.1651360694. The cubic root of 428414040 is about 753.8551366095.

Adding to 428414040 its reverse (40414824), we get a palindrome (468828864).

The spelling of 428414040 in words is "four hundred twenty-eight million, four hundred fourteen thousand, forty".