1408496640 has 176 divisors, whose sum is σ = 4552396992. Its totient is φ = 371654656.

The previous prime is 1408496633. The next prime is 1408496641. The reversal of 1408496640 is 466948041.

It is a junction number, because it is equal to n+sod(n) for n = 1408496592 and 1408496601.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1408496641) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1643092 + ... + 1643948.

It is an arithmetic number, because the mean of its divisors is an integer number (25865892).

Almost surely, 2^1408496640 is an apocalyptic number.

1408496640 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 1408496640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2276198496).

1408496640 is an abundant number, since it is smaller than the sum of its proper divisors (3143900352).

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

1408496640 is a wasteful number, since it uses less digits than its factorization.

1408496640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 992 (or 974 counting only the distinct ones).

The product of its (nonzero) digits is 165888, while the sum is 42.

The square root of 1408496640 is about 37529.9432453608. The cubic root of 1408496640 is about 1120.9474975298.

The spelling of 1408496640 in words is "one billion, four hundred eight million, four hundred ninety-six thousand, six hundred forty".