1413078048 has 144 divisors (see below), whose sum is σ = 4349007936. Its totient is φ = 450489600.

The previous prime is 1413078047. The next prime is 1413078061. The reversal of 1413078048 is 8408703141.

It is a tau number, because it is divible by the number of its divisors (144).

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 (1413078047) 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 23 ways as a sum of consecutive naturals, for example, 174898 + ... + 182798.

It is an arithmetic number, because the mean of its divisors is an integer number (30201444).

Almost surely, 2^1413078048 is an apocalyptic number.

1413078048 is a gapful number since it is divisible by the number (18) 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 1413078048, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2174503968).

1413078048 is an abundant number, since it is smaller than the sum of its proper divisors (2935929888).

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

1413078048 is an equidigital number, since it uses as much as digits as its factorization.

1413078048 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7949 (or 7929 counting only the distinct ones).

The product of its (nonzero) digits is 21504, while the sum is 36.

The square root of 1413078048 is about 37590.9303955090. The cubic root of 1413078048 is about 1122.1615484165.

The spelling of 1413078048 in words is "one billion, four hundred thirteen million, seventy-eight thousand, forty-eight".