1408233040 has 40 divisors (see below), whose sum is σ = 3387048840. Its totient is φ = 543868416.

The previous prime is 1408233037. The next prime is 1408233041. The reversal of 1408233040 is 403328041.

It can be written as a sum of positive squares in 4 ways, for example, as 465006096 + 943226944 = 21564^2 + 30712^2 .

It is a tau number, because it is divible by the number of its divisors (40).

It is a junction number, because it is equal to n+sod(n) for n = 1408232996 and 1408233014.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1408233041) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 301179 + ... + 305818.

It is an arithmetic number, because the mean of its divisors is an integer number (84676221).

Almost surely, 2^1408233040 is an apocalyptic number.

1408233040 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1408233040 is an abundant number, since it is smaller than the sum of its proper divisors (1978815800).

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

1408233040 is a wasteful number, since it uses less digits than its factorization.

1408233040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 607039 (or 607033 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 25.

The square root of 1408233040 is about 37526.4312185425. The cubic root of 1408233040 is about 1120.8775647644.

The spelling of 1408233040 in words is "one billion, four hundred eight million, two hundred thirty-three thousand, forty".