428725440 has 448 divisors, whose sum is σ = 1781982720. Its totient is φ = 95662080.

The previous prime is 428725421. The next prime is 428725441. The reversal of 428725440 is 44527824.

428725440 is a `hidden beast` number, since 42 + 8 + 72 + 544 + 0 = 666.

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 = 428725395 and 428725404.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (428725441) by changing a digit.

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 63 ways as a sum of consecutive naturals, for example, 1235347 + ... + 1235693.

It is an arithmetic number, because the mean of its divisors is an integer number (3977640).

Almost surely, 2^428725440 is an apocalyptic number.

428725440 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 428725440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (890991360).

428725440 is an abundant number, since it is smaller than the sum of its proper divisors (1353257280).

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

428725440 is a wasteful number, since it uses less digits than its factorization.

428725440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 397 (or 381 counting only the distinct ones).

The product of its (nonzero) digits is 71680, while the sum is 36.

The square root of 428725440 is about 20705.6861755412. The cubic root of 428725440 is about 754.0377431639.

The spelling of 428725440 in words is "four hundred twenty-eight million, seven hundred twenty-five thousand, four hundred forty".