42464448 has 168 divisors, whose sum is σ = 134800848. Its totient is φ = 12699648.

The previous prime is 42464423. The next prime is 42464459. The reversal of 42464448 is 84446424.

42464448 is a `hidden beast` number, since 4 + 2 + 4 + 644 + 4 + 8 = 666.

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

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 396811 + ... + 396917.

It is an arithmetic number, because the mean of its divisors is an integer number (802386).

Almost surely, 2^42464448 is an apocalyptic number.

42464448 is a gapful number since it is divisible by the number (48) 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 42464448, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (67400424).

42464448 is an abundant number, since it is smaller than the sum of its proper divisors (92336400).

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

42464448 is a wasteful number, since it uses less digits than its factorization.

42464448 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 191 (or 178 counting only the distinct ones).

The product of its digits is 98304, while the sum is 36.

The square root of 42464448 is about 6516.4751207996. The cubic root of 42464448 is about 348.8792668373.

The spelling of 42464448 in words is "forty-two million, four hundred sixty-four thousand, four hundred forty-eight".