1445532480 has 560 divisors, whose sum is σ = 6089757696. Its totient is φ = 318504960.

The previous prime is 1445532421. The next prime is 1445532493. The reversal of 1445532480 is 842355441.

It is a happy number.

1445532480 is a `hidden beast` number, since 1 + 4 + 4 + 553 + 24 + 80 = 666.

It is a tau number, because it is divible by the number of its divisors (560).

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 5624512 + ... + 5624768.

Almost surely, 2^1445532480 is an apocalyptic number.

1445532480 is a gapful number since it is divisible by the number (10) 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 1445532480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3044878848).

1445532480 is an abundant number, since it is smaller than the sum of its proper divisors (4644225216).

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

1445532480 is a wasteful number, since it uses less digits than its factorization.

1445532480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 324 (or 305 counting only the distinct ones).

The product of its (nonzero) digits is 76800, while the sum is 36.

The square root of 1445532480 is about 38020.1588634240. The cubic root of 1445532480 is about 1130.6875706896.

The spelling of 1445532480 in words is "one billion, four hundred forty-five million, five hundred thirty-two thousand, four hundred eighty".