1449601920 has 448 divisors, whose sum is σ = 5618894400. Its totient is φ = 355332096.

The previous prime is 1449601919. The next prime is 1449601921. The reversal of 1449601920 is 291069441.

It is a happy number.

1449601920 is a `hidden beast` number, since 1 + 4 + 49 + 601 + 9 + 2 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (1449601919) and next prime (1449601921).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1449601921) by changing a digit.

It is a polite number, since it can be written in 55 ways as a sum of consecutive naturals, for example, 6065161 + ... + 6065399.

It is an arithmetic number, because the mean of its divisors is an integer number (12542175).

Almost surely, 2^1449601920 is an apocalyptic number.

1449601920 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 1449601920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2809447200).

1449601920 is an abundant number, since it is smaller than the sum of its proper divisors (4169292480).

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

1449601920 is an equidigital number, since it uses as much as digits as its factorization.

1449601920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 289 (or 262 counting only the distinct ones).

The product of its (nonzero) digits is 15552, while the sum is 36.

The square root of 1449601920 is about 38073.6381240354. The cubic root of 1449601920 is about 1131.7476077876.

The spelling of 1449601920 in words is "one billion, four hundred forty-nine million, six hundred one thousand, nine hundred twenty".