42815520 has 384 divisors, whose sum is σ = 176359680. Its totient is φ = 9584640.

The previous prime is 42815501. The next prime is 42815567. The reversal of 42815520 is 2551824.

It is a happy number.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 807814 + ... + 807866.

It is an arithmetic number, because the mean of its divisors is an integer number (459270).

Almost surely, 2^42815520 is an apocalyptic number.

42815520 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 42815520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (88179840).

42815520 is an abundant number, since it is smaller than the sum of its proper divisors (133544160).

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

42815520 is a wasteful number, since it uses less digits than its factorization.

42815520 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 105 (or 91 counting only the distinct ones).

The product of its (nonzero) digits is 3200, while the sum is 27.

The square root of 42815520 is about 6543.3569366190. The cubic root of 42815520 is about 349.8380747577.

It can be divided in two parts, 4281 and 5520, that added together give a square (9801 = 99²).

The spelling of 42815520 in words is "forty-two million, eight hundred fifteen thousand, five hundred twenty".