428413440 has 320 divisors, whose sum is σ = 1688391936. Its totient is φ = 90243072.

The previous prime is 428413411. The next prime is 428413441. The reversal of 428413440 is 44314824.

It is a tau number, because it is divible by the number of its divisors (320).

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 428413398 and 428413407.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (428413441) 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, 698574 + ... + 699186.

Almost surely, 2^428413440 is an apocalyptic number.

428413440 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 428413440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (844195968).

428413440 is an abundant number, since it is smaller than the sum of its proper divisors (1259978496).

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

428413440 is a wasteful number, since it uses less digits than its factorization.

428413440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 659 (or 643 counting only the distinct ones).

The product of its (nonzero) digits is 12288, while the sum is 30.

The square root of 428413440 is about 20698.1506420260. The cubic root of 428413440 is about 753.8547846810.

The spelling of 428413440 in words is "four hundred twenty-eight million, four hundred thirteen thousand, four hundred forty".