424242672 has 80 divisors (see below), whose sum is σ = 1258133760. Its totient is φ = 120669696.

The previous prime is 424242661. The next prime is 424242673. The reversal of 424242672 is 276242424.

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (424242673) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 75579 + ... + 80997.

It is an arithmetic number, because the mean of its divisors is an integer number (15726672).

Almost surely, 2^424242672 is an apocalyptic number.

424242672 is a gapful number since it is divisible by the number (42) 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 424242672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (629066880).

424242672 is an abundant number, since it is smaller than the sum of its proper divisors (833891088).

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

424242672 is a wasteful number, since it uses less digits than its factorization.

424242672 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5670 (or 5664 counting only the distinct ones).

The product of its digits is 43008, while the sum is 33.

The square root of 424242672 is about 20597.1520361432. The cubic root of 424242672 is about 751.4004482542.

The spelling of 424242672 in words is "four hundred twenty-four million, two hundred forty-two thousand, six hundred seventy-two".