424113624 has 128 divisors (see below), whose sum is σ = 1298419200. Its totient is φ = 127198080.

The previous prime is 424113623. The next prime is 424113643. The reversal of 424113624 is 426311424.

It is a happy number.

424113624 is a `hidden beast` number, since 4 + 24 + 1 + 13 + 624 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

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 (424113623) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 243862 + ... + 245594.

It is an arithmetic number, because the mean of its divisors is an integer number (10143900).

Almost surely, 2^424113624 is an apocalyptic number.

424113624 is a gapful number since it is divisible by the number (44) 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 424113624, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (649209600).

424113624 is an abundant number, since it is smaller than the sum of its proper divisors (874305576).

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

424113624 is a wasteful number, since it uses less digits than its factorization.

424113624 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1862 (or 1852 counting only the distinct ones).

The product of its digits is 4608, while the sum is 27.

The square root of 424113624 is about 20594.0191317771. The cubic root of 424113624 is about 751.3242524312.

The spelling of 424113624 in words is "four hundred twenty-four million, one hundred thirteen thousand, six hundred twenty-four".