1449338400 has 288 divisors, whose sum is σ = 5551519680. Its totient is φ = 363663360.

The previous prime is 1449338329. The next prime is 1449338419. The reversal of 1449338400 is 48339441.

It is a tau number, because it is divible by the number of its divisors (288).

It is a super-3 number, since 3×1449338400³ (a number of 28 digits) contains 333 as substring.

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

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 365227 + ... + 369173.

It is an arithmetic number, because the mean of its divisors is an integer number (19276110).

Almost surely, 2^1449338400 is an apocalyptic number.

1449338400 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 1449338400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2775759840).

1449338400 is an abundant number, since it is smaller than the sum of its proper divisors (4102181280).

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

1449338400 is a wasteful number, since it uses less digits than its factorization.

1449338400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3993 (or 3974 counting only the distinct ones).

The product of its (nonzero) digits is 41472, while the sum is 36.

The square root of 1449338400 is about 38070.1773045517. The cubic root of 1449338400 is about 1131.6790243143.

The spelling of 1449338400 in words is "one billion, four hundred forty-nine million, three hundred thirty-eight thousand, four hundred".