424478340 has 384 divisors, whose sum is σ = 1625702400. Its totient is φ = 90478080.

The previous prime is 424478303. The next prime is 424478359. The reversal of 424478340 is 43874424.

It is a happy number.

424478340 is a `hidden beast` number, since 4 + 244 + 78 + 340 = 666.

It is a super-2 number, since 2×424478340² = 360363722258311200, which contains 22 as substring.

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 = 424478295 and 424478304.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 1775941 + ... + 1776179.

It is an arithmetic number, because the mean of its divisors is an integer number (4233600).

Almost surely, 2^424478340 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 424478340, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (812851200).

424478340 is an abundant number, since it is smaller than the sum of its proper divisors (1201224060).

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

424478340 is a wasteful number, since it uses less digits than its factorization.

424478340 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 304 (or 296 counting only the distinct ones).

The product of its (nonzero) digits is 86016, while the sum is 36.

The square root of 424478340 is about 20602.8721298755. The cubic root of 424478340 is about 751.5395575211.

The spelling of 424478340 in words is "four hundred twenty-four million, four hundred seventy-eight thousand, three hundred forty".