428459040 has 144 divisors (see below), whose sum is σ = 1469541528. Its totient is φ = 113676288.

The previous prime is 428459033. The next prime is 428459051. The reversal of 428459040 is 40954824.

428459040 is a `hidden beast` number, since 4 + 28 + 4 + 590 + 40 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 314140176 + 114318864 = 17724^2 + 10692^2 .

It is a tau number, because it is divible by the number of its divisors (144).

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

It is a junction number, because it is equal to n+sod(n) for n = 428458986 and 428459004.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 334882 + ... + 336158.

Almost surely, 2^428459040 is an apocalyptic number.

428459040 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 428459040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (734770764).

428459040 is an abundant number, since it is smaller than the sum of its proper divisors (1041082488).

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

428459040 is a wasteful number, since it uses less digits than its factorization.

428459040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1531 (or 1520 counting only the distinct ones).

The product of its (nonzero) digits is 46080, while the sum is 36.

The square root of 428459040 is about 20699.2521604042. The cubic root of 428459040 is about 753.8815303083.

The spelling of 428459040 in words is "four hundred twenty-eight million, four hundred fifty-nine thousand, forty".