448921440 has 480 divisors, whose sum is σ = 1791465984. Its totient is φ = 104924160.

The previous prime is 448921409. The next prime is 448921471. The reversal of 448921440 is 44129844.

It is an interprime number because it is at equal distance from previous prime (448921409) and next prime (448921471).

It is a tau number, because it is divible by the number of its divisors (480).

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

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

It is a junction number, because it is equal to n+sod(n) for n = 448921395 and 448921404.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 6700287 + ... + 6700353.

Almost surely, 2^448921440 is an apocalyptic number.

448921440 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 448921440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (895732992).

448921440 is an abundant number, since it is smaller than the sum of its proper divisors (1342544544).

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

448921440 is a wasteful number, since it uses less digits than its factorization.

448921440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 152 (or 135 counting only the distinct ones).

The product of its (nonzero) digits is 36864, while the sum is 36.

The square root of 448921440 is about 21187.7662815125. The cubic root of 448921440 is about 765.6967124609.

The spelling of 448921440 in words is "four hundred forty-eight million, nine hundred twenty-one thousand, four hundred forty".