42404824 has 128 divisors (see below), whose sum is σ = 107412480. Its totient is φ = 15206400.

The previous prime is 42404819. The next prime is 42404839. The reversal of 42404824 is 42840424.

It is a Harshad number since it is a multiple of its sum of digits (28).

It is a junction number, because it is equal to n+sod(n) for n = 42404792 and 42404801.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 580852 + ... + 580924.

It is an arithmetic number, because the mean of its divisors is an integer number (839160).

Almost surely, 2^42404824 is an apocalyptic number.

42404824 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 42404824, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (53706240).

42404824 is an abundant number, since it is smaller than the sum of its proper divisors (65007656).

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

42404824 is a wasteful number, since it uses less digits than its factorization.

42404824 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 161 (or 157 counting only the distinct ones).

The product of its (nonzero) digits is 8192, while the sum is 28.

The square root of 42404824 is about 6511.8986478599. The cubic root of 42404824 is about 348.7159041362.

Subtracting 42404824 from its reverse (42840424), we obtain a square (435600 = 660²).

The spelling of 42404824 in words is "forty-two million, four hundred four thousand, eight hundred twenty-four".