42481920 has 288 divisors, whose sum is σ = 156586752. Its totient is φ = 9732096.

The previous prime is 42481909. The next prime is 42481921. The reversal of 42481920 is 2918424.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is not an unprimeable number, because it can be changed into a prime (42481921) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1148142 + ... + 1148178.

It is an arithmetic number, because the mean of its divisors is an integer number (543704).

Almost surely, 2^42481920 is an apocalyptic number.

42481920 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 42481920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (78293376).

42481920 is an abundant number, since it is smaller than the sum of its proper divisors (114104832).

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

42481920 is a wasteful number, since it uses less digits than its factorization.

42481920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 97 (or 83 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 30.

The square root of 42481920 is about 6517.8155849947. The cubic root of 42481920 is about 348.9271090757.

The spelling of 42481920 in words is "forty-two million, four hundred eighty-one thousand, nine hundred twenty".