1408772736 has 480 divisors, whose sum is σ = 5065156800. Its totient is φ = 387265536.

The previous prime is 1408772731. The next prime is 1408772797. The reversal of 1408772736 is 6372778041.

It is a junction number, because it is equal to n+sod(n) for n = 1408772691 and 1408772700.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1408772731) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 23877475 + ... + 23877533.

It is an arithmetic number, because the mean of its divisors is an integer number (10552410).

Almost surely, 2^1408772736 is an apocalyptic number.

1408772736 is a gapful number since it is divisible by the number (16) 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 1408772736, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2532578400).

1408772736 is an abundant number, since it is smaller than the sum of its proper divisors (3656384064).

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

1408772736 is an equidigital number, since it uses as much as digits as its factorization.

1408772736 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 146 (or 118 counting only the distinct ones).

The product of its (nonzero) digits is 395136, while the sum is 45.

The square root of 1408772736 is about 37533.6214080123. The cubic root of 1408772736 is about 1121.0207361142.

The spelling of 1408772736 in words is "one billion, four hundred eight million, seven hundred seventy-two thousand, seven hundred thirty-six".