424057320 has 96 divisors (see below), whose sum is σ = 1381816800. Its totient is φ = 112784256.

The previous prime is 424057289. The next prime is 424057351. The reversal of 424057320 is 23750424.

It is an interprime number because it is at equal distance from previous prime (424057289) and next prime (424057351).

It is a super-2 number, since 2×424057320² = 359649221291164800, which contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 158151 + ... + 160809.

It is an arithmetic number, because the mean of its divisors is an integer number (14393925).

Almost surely, 2^424057320 is an apocalyptic number.

424057320 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 424057320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (690908400).

424057320 is an abundant number, since it is smaller than the sum of its proper divisors (957759480).

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

424057320 is a wasteful number, since it uses less digits than its factorization.

424057320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3119 (or 3112 counting only the distinct ones).

The product of its (nonzero) digits is 6720, while the sum is 27.

The square root of 424057320 is about 20592.6520875773. The cubic root of 424057320 is about 751.2910031394.

The spelling of 424057320 in words is "four hundred twenty-four million, fifty-seven thousand, three hundred twenty".