448179840 has 384 divisors, whose sum is σ = 1718496000. Its totient is φ = 107053056.

The previous prime is 448179839. The next prime is 448179869. The reversal of 448179840 is 48971844.

It is a tau number, because it is divible by the number of its divisors (384).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2252061 + ... + 2252259.

It is an arithmetic number, because the mean of its divisors is an integer number (4475250).

Almost surely, 2^448179840 is an apocalyptic number.

448179840 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 448179840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (859248000).

448179840 is an abundant number, since it is smaller than the sum of its proper divisors (1270316160).

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

448179840 is a wasteful number, since it uses less digits than its factorization.

448179840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 264 (or 249 counting only the distinct ones).

The product of its (nonzero) digits is 258048, while the sum is 45.

The square root of 448179840 is about 21170.2583829296. The cubic root of 448179840 is about 765.2748467759.

The spelling of 448179840 in words is "four hundred forty-eight million, one hundred seventy-nine thousand, eight hundred forty".