42979520 has 56 divisors (see below), whose sum is σ = 107746800. Its totient is φ = 16284672.

The previous prime is 42979507. The next prime is 42979523. The reversal of 42979520 is 2597924.

It is a Harshad number since it is a multiple of its sum of digits (38).

It is not an unprimeable number, because it can be changed into a prime (42979523) by changing a digit.

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 7 ways as a sum of consecutive naturals, for example, 2546 + ... + 9614.

It is an arithmetic number, because the mean of its divisors is an integer number (1924050).

Almost surely, 2^42979520 is an apocalyptic number.

42979520 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 42979520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (53873400).

42979520 is an abundant number, since it is smaller than the sum of its proper divisors (64767280).

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

42979520 is a wasteful number, since it uses less digits than its factorization.

42979520 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7105 (or 7095 counting only the distinct ones).

The product of its (nonzero) digits is 45360, while the sum is 38.

The square root of 42979520 is about 6555.8767529599. The cubic root of 42979520 is about 350.2841773672.

The spelling of 42979520 in words is "forty-two million, nine hundred seventy-nine thousand, five hundred twenty".