1449052416 has 360 divisors, whose sum is σ = 5045409600. Its totient is φ = 405098496.

The previous prime is 1449052411. The next prime is 1449052427. The reversal of 1449052416 is 6142509441.

1449052416 is a `hidden beast` number, since 1 + 44 + 90 + 524 + 1 + 6 = 666.

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

It is not an unprimeable number, because it can be changed into a prime (1449052411) by changing a digit.

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 39 ways as a sum of consecutive naturals, for example, 9725110 + ... + 9725258.

Almost surely, 2^1449052416 is an apocalyptic number.

1449052416 is a gapful number since it is divisible by the number (16) 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 1449052416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2522704800).

1449052416 is an abundant number, since it is smaller than the sum of its proper divisors (3596357184).

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

1449052416 is an equidigital number, since it uses as much as digits as its factorization.

1449052416 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 251 (or 228 counting only the distinct ones).

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

The square root of 1449052416 is about 38066.4211083732. The cubic root of 1449052416 is about 1131.6045849739.

The spelling of 1449052416 in words is "one billion, four hundred forty-nine million, fifty-two thousand, four hundred sixteen".