1449264960 has 1120 divisors, whose sum is σ = 6691652352. Its totient is φ = 291962880.

The previous prime is 1449264941. The next prime is 1449264961. The reversal of 1449264960 is 694629441.

1449264960 is a `hidden beast` number, since 14 + 492 + 64 + 96 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1449264961) by changing a digit.

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 159 ways as a sum of consecutive naturals, for example, 63011509 + ... + 63011531.

Almost surely, 2^1449264960 is an apocalyptic number.

1449264960 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 1449264960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3345826176).

1449264960 is an abundant number, since it is smaller than the sum of its proper divisors (5242387392).

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

1449264960 is a wasteful number, since it uses less digits than its factorization.

1449264960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 93 (or 74 counting only the distinct ones).

The product of its (nonzero) digits is 373248, while the sum is 45.

The square root of 1449264960 is about 38069.2127578178. The cubic root of 1449264960 is about 1131.6599094061.

The spelling of 1449264960 in words is "one billion, four hundred forty-nine million, two hundred sixty-four thousand, nine hundred sixty".