424525440 has 128 divisors (see below), whose sum is σ = 1364613120. Its totient is φ = 112250880.

The previous prime is 424525429. The next prime is 424525463. The reversal of 424525440 is 44525424.

It is a tau number, because it is divible by the number of its divisors (128).

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 = 424525398 and 424525407.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 242970 + ... + 244710.

It is an arithmetic number, because the mean of its divisors is an integer number (10661040).

Almost surely, 2^424525440 is an apocalyptic number.

424525440 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 424525440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (682306560).

424525440 is an abundant number, since it is smaller than the sum of its proper divisors (940087680).

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

424525440 is a wasteful number, since it uses less digits than its factorization.

424525440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1890 (or 1878 counting only the distinct ones).

The product of its (nonzero) digits is 25600, while the sum is 30.

The square root of 424525440 is about 20604.0151426852. The cubic root of 424525440 is about 751.5673533673.

The spelling of 424525440 in words is "four hundred twenty-four million, five hundred twenty-five thousand, four hundred forty".