42504924 has 96 divisors (see below), whose sum is σ = 124862976. Its totient is φ = 10932480.

The previous prime is 42504911. The next prime is 42504977. The reversal of 42504924 is 42940524.

It is a junction number, because it is equal to n+sod(n) for n = 42504891 and 42504900.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 144922 + ... + 145214.

It is an arithmetic number, because the mean of its divisors is an integer number (1300656).

Almost surely, 2^42504924 is an apocalyptic number.

42504924 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 42504924, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (62431488).

42504924 is an abundant number, since it is smaller than the sum of its proper divisors (82358052).

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

42504924 is a wasteful number, since it uses less digits than its factorization.

42504924 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 475 (or 473 counting only the distinct ones).

The product of its (nonzero) digits is 11520, while the sum is 30.

The square root of 42504924 is about 6519.5800478252. The cubic root of 42504924 is about 348.9900791645.

Subtracting 42504924 from its reverse (42940524), we obtain a square (435600 = 660²).

The spelling of 42504924 in words is "forty-two million, five hundred four thousand, nine hundred twenty-four".