428405040 has 180 divisors, whose sum is σ = 1673758944. Its totient is φ = 97913088.

The previous prime is 428405039. The next prime is 428405051. The reversal of 428405040 is 40504824.

It is a tau number, because it is divible by the number of its divisors (180).

It is a junction number, because it is equal to n+sod(n) for n = 428404995 and 428405013.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 29209 + ... + 41351.

Almost surely, 2^428405040 is an apocalyptic number.

428405040 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 428405040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (836879472).

428405040 is an abundant number, since it is smaller than the sum of its proper divisors (1245353904).

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

428405040 is a wasteful number, since it uses less digits than its factorization.

428405040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12176 (or 12160 counting only the distinct ones).

The product of its (nonzero) digits is 5120, while the sum is 27.

The square root of 428405040 is about 20697.9477243518. The cubic root of 428405040 is about 753.8498576479.

Adding to 428405040 its reverse (40504824), we get a palindrome (468909864).

The spelling of 428405040 in words is "four hundred twenty-eight million, four hundred five thousand, forty".