1449512064 has 512 divisors, whose sum is σ = 5757696000. Its totient is φ = 346705920.

The previous prime is 1449512041. The next prime is 1449512131. The reversal of 1449512064 is 4602159441.

1449512064 is a `hidden beast` number, since 1 + 449 + 5 + 1 + 206 + 4 = 666.

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 3459247 + ... + 3459665.

It is an arithmetic number, because the mean of its divisors is an integer number (11245500).

Almost surely, 2^1449512064 is an apocalyptic number.

1449512064 is a gapful number since it is divisible by the number (14) 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 1449512064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2878848000).

1449512064 is an abundant number, since it is smaller than the sum of its proper divisors (4308183936).

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

1449512064 is a wasteful number, since it uses less digits than its factorization.

1449512064 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 473 (or 455 counting only the distinct ones).

The product of its (nonzero) digits is 34560, while the sum is 36.

The square root of 1449512064 is about 38072.4580766727. The cubic root of 1449512064 is about 1131.7242228815.

The spelling of 1449512064 in words is "one billion, four hundred forty-nine million, five hundred twelve thousand, sixty-four".