1449239040 has 400 divisors, whose sum is σ = 5391987480. Its totient is φ = 371589120.

The previous prime is 1449239023. The next prime is 1449239047. The reversal of 1449239040 is 409329441.

1449239040 is a `hidden beast` number, since 144 + 92 + 390 + 40 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 1306388736 + 142850304 = 36144^2 + 11952^2 .

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

It is a junction number, because it is equal to n+sod(n) for n = 1449238986 and 1449239004.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1449239047) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 6013320 + ... + 6013560.

Almost surely, 2^1449239040 is an apocalyptic number.

1449239040 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 1449239040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2695993740).

1449239040 is an abundant number, since it is smaller than the sum of its proper divisors (3942748440).

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

1449239040 is an equidigital number, since it uses as much as digits as its factorization.

1449239040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 305 (or 280 counting only the distinct ones).

The product of its (nonzero) digits is 31104, while the sum is 36.

The square root of 1449239040 is about 38068.8723237240. The cubic root of 1449239040 is about 1131.6531628138.

The spelling of 1449239040 in words is "one billion, four hundred forty-nine million, two hundred thirty-nine thousand, forty".