1408661280 has 336 divisors, whose sum is σ = 5379265080. Its totient is φ = 346374144.

The previous prime is 1408661251. The next prime is 1408661281. The reversal of 1408661280 is 821668041.

It can be written as a sum of positive squares in 4 ways, for example, as 434472336 + 974188944 = 20844^2 + 31212^2 .

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

It is not an unprimeable number, because it can be changed into a prime (1408661281) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 55 ways as a sum of consecutive naturals, for example, 1515856 + ... + 1516784.

Almost surely, 2^1408661280 is an apocalyptic number.

1408661280 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 1408661280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2689632540).

1408661280 is an abundant number, since it is smaller than the sum of its proper divisors (3970603800).

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

1408661280 is an equidigital number, since it uses as much as digits as its factorization.

1408661280 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 975 (or 952 counting only the distinct ones).

The product of its (nonzero) digits is 18432, while the sum is 36.

The square root of 1408661280 is about 37532.1366298270. The cubic root of 1408661280 is about 1120.9911718987.

The spelling of 1408661280 in words is "one billion, four hundred eight million, six hundred sixty-one thousand, two hundred eighty".