42448320 has 224 divisors, whose sum is σ = 159105600. Its totient is φ = 10653696.

The previous prime is 42448313. The next prime is 42448327. The reversal of 42448320 is 2384424.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (42448313) and next prime (42448327).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (42448327) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2496952 + ... + 2496968.

Almost surely, 2^42448320 is an apocalyptic number.

42448320 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 42448320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (79552800).

42448320 is an abundant number, since it is smaller than the sum of its proper divisors (116657280).

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

42448320 is an equidigital number, since it uses as much as digits as its factorization.

42448320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 77 (or 27 counting only the distinct ones).

The product of its (nonzero) digits is 6144, while the sum is 27.

The square root of 42448320 is about 6515.2375244499. The cubic root of 42448320 is about 348.8350931220.

The spelling of 42448320 in words is "forty-two million, four hundred forty-eight thousand, three hundred twenty".