424828480 has 56 divisors (see below), whose sum is σ = 1019007360. Its totient is φ = 168691200.

The previous prime is 424828477. The next prime is 424828513. The reversal of 424828480 is 84828424.

It is a super-2 number, since 2×424828480² = 360958474838220800, which contains 22 as substring.

It is a hoax number, since the sum of its digits (40) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (40).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 39705 + ... + 49255.

It is an arithmetic number, because the mean of its divisors is an integer number (18196560).

Almost surely, 2^424828480 is an apocalyptic number.

424828480 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 424828480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (509503680).

424828480 is an abundant number, since it is smaller than the sum of its proper divisors (594178880).

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

424828480 is a wasteful number, since it uses less digits than its factorization.

424828480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9707 (or 9697 counting only the distinct ones).

The product of its (nonzero) digits is 131072, while the sum is 40.

The square root of 424828480 is about 20611.3677372464. The cubic root of 424828480 is about 751.7461418668.

The spelling of 424828480 in words is "four hundred twenty-four million, eight hundred twenty-eight thousand, four hundred eighty".