428941440 has 256 divisors, whose sum is σ = 1540281600. Its totient is φ = 112803840.

The previous prime is 428941439. The next prime is 428941441. The reversal of 428941440 is 44149824.

428941440 is a `hidden beast` number, since 428 + 94 + 144 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (428941439) and next prime (428941441).

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 = 428941395 and 428941404.

It is not an unprimeable number, because it can be changed into a prime (428941441) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1779720 + ... + 1779960.

It is an arithmetic number, because the mean of its divisors is an integer number (6016725).

Almost surely, 2^428941440 is an apocalyptic number.

428941440 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 428941440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (770140800).

428941440 is an abundant number, since it is smaller than the sum of its proper divisors (1111340160).

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

428941440 is a wasteful number, since it uses less digits than its factorization.

428941440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 372 (or 354 counting only the distinct ones).

The product of its (nonzero) digits is 36864, while the sum is 36.

The square root of 428941440 is about 20710.9014772414. The cubic root of 428941440 is about 754.1643547372.

The spelling of 428941440 in words is "four hundred twenty-eight million, nine hundred forty-one thousand, four hundred forty".