448987392 has 324 divisors, whose sum is σ = 1558527516. Its totient is φ = 123863040.

The previous prime is 448987387. The next prime is 448987417. The reversal of 448987392 is 293789844.

448987392 is a `hidden beast` number, since 4 + 489 + 8 + 73 + 92 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 94945536 + 354041856 = 9744^2 + 18816^2 .

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

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 4628688 + ... + 4628784.

Almost surely, 2^448987392 is an apocalyptic number.

448987392 is a gapful number since it is divisible by the number (42) 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 448987392, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (779263758).

448987392 is an abundant number, since it is smaller than the sum of its proper divisors (1109540124).

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

448987392 is a wasteful number, since it uses less digits than its factorization.

448987392 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 174 (or 150 counting only the distinct ones).

The product of its digits is 3483648, while the sum is 54.

The square root of 448987392 is about 21189.3225941746. The cubic root of 448987392 is about 765.7342073337.

The spelling of 448987392 in words is "four hundred forty-eight million, nine hundred eighty-seven thousand, three hundred ninety-two".