1449337890 has 384 divisors, whose sum is σ = 4990906368. Its totient is φ = 260075520.

The previous prime is 1449337889. The next prime is 1449337913. The reversal of 1449337890 is 987339441.

It is a happy number.

It is a super-3 number, since 3×1449337890³ (a number of 28 digits) contains 333 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 8678587 + ... + 8678753.

It is an arithmetic number, because the mean of its divisors is an integer number (12997152).

Almost surely, 2^1449337890 is an apocalyptic number.

1449337890 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 1449337890, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2495453184).

1449337890 is an abundant number, since it is smaller than the sum of its proper divisors (3541568478).

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

1449337890 is a wasteful number, since it uses less digits than its factorization.

1449337890 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 242 (or 225 counting only the distinct ones).

The product of its (nonzero) digits is 653184, while the sum is 48.

The square root of 1449337890 is about 38070.1706063947. The cubic root of 1449337890 is about 1131.6788915741.

The spelling of 1449337890 in words is "one billion, four hundred forty-nine million, three hundred thirty-seven thousand, eight hundred ninety".