1408006740 has 48 divisors (see below), whose sum is σ = 4505622912. Its totient is φ = 321830016.

The previous prime is 1408006727. The next prime is 1408006757. The reversal of 1408006740 is 476008041.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 1408006698 and 1408006707.

It is a congruent number.

It is an unprimeable number.

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 15 ways as a sum of consecutive naturals, for example, 1675779 + ... + 1676618.

It is an arithmetic number, because the mean of its divisors is an integer number (93867144).

Almost surely, 2^1408006740 is an apocalyptic number.

1408006740 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1408006740 is an abundant number, since it is smaller than the sum of its proper divisors (3097616172).

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

1408006740 is a wasteful number, since it uses less digits than its factorization.

1408006740 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3352416 (or 3352414 counting only the distinct ones).

The product of its (nonzero) digits is 5376, while the sum is 30.

The square root of 1408006740 is about 37523.4158892817. The cubic root of 1408006740 is about 1120.8175206821.

The spelling of 1408006740 in words is "one billion, four hundred eight million, six thousand, seven hundred forty".