1446639480 has 1024 divisors, whose sum is σ = 6531840000. Its totient is φ = 278691840.

The previous prime is 1446639479. The next prime is 1446639503. The reversal of 1446639480 is 849366441.

1446639480 is a `hidden beast` number, since 1 + 4 + 4 + 6 + 639 + 4 + 8 + 0 = 666.

It is a super-3 number, since 3×1446639480³ (a number of 28 digits) contains 333 as substring.

It is a hoax number, since the sum of its digits (45) 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 (45).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 49884106 + ... + 49884134.

It is an arithmetic number, because the mean of its divisors is an integer number (6378750).

Almost surely, 2^1446639480 is an apocalyptic number.

1446639480 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 1446639480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3265920000).

1446639480 is an abundant number, since it is smaller than the sum of its proper divisors (5085200520).

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

1446639480 is a wasteful number, since it uses less digits than its factorization.

1446639480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 109 (or 99 counting only the distinct ones).

The product of its (nonzero) digits is 497664, while the sum is 45.

The square root of 1446639480 is about 38034.7141437924. The cubic root of 1446639480 is about 1130.9761268170.

The spelling of 1446639480 in words is "one billion, four hundred forty-six million, six hundred thirty-nine thousand, four hundred eighty".