445471488 has 504 divisors, whose sum is σ = 1715782656. Its totient is φ = 111974400.

The previous prime is 445471469. The next prime is 445471501. The reversal of 445471488 is 884174544.

It is a tau number, because it is divible by the number of its divisors (504).

It is a super-3 number, since 3×445471488³ (a number of 27 digits) contains 333 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 55 ways as a sum of consecutive naturals, for example, 14370033 + ... + 14370063.

Almost surely, 2^445471488 is an apocalyptic number.

445471488 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 445471488, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (857891328).

445471488 is an abundant number, since it is smaller than the sum of its proper divisors (1270311168).

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

445471488 is an equidigital number, since it uses as much as digits as its factorization.

445471488 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 83 (or 54 counting only the distinct ones).

The product of its digits is 573440, while the sum is 45.

The square root of 445471488 is about 21106.1954885290. The cubic root of 445471488 is about 763.7302118425.

The spelling of 445471488 in words is "four hundred forty-five million, four hundred seventy-one thousand, four hundred eighty-eight".