42975360 has 160 divisors (see below), whose sum is σ = 153657900. Its totient is φ = 11446272.

The previous prime is 42975347. The next prime is 42975391. The reversal of 42975360 is 6357924.

42975360 is a `hidden beast` number, since 4 + 297 + 5 + 360 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 42928704 + 46656 = 6552^2 + 216^2 .

It is a tau number, because it is divible by the number of its divisors (160).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a nialpdrome in base 9.

It is a zygodrome in base 9.

It is an unprimeable number.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 51426 + ... + 52254.

Almost surely, 2^42975360 is an apocalyptic number.

42975360 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 42975360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (76828950).

42975360 is an abundant number, since it is smaller than the sum of its proper divisors (110682540).

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

42975360 is an equidigital number, since it uses as much as digits as its factorization.

42975360 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 860 (or 839 counting only the distinct ones).

The product of its (nonzero) digits is 45360, while the sum is 36.

The square root of 42975360 is about 6555.5594726919. The cubic root of 42975360 is about 350.2728756341.

The spelling of 42975360 in words is "forty-two million, nine hundred seventy-five thousand, three hundred sixty".