1413048420 has 288 divisors, whose sum is σ = 5072191488. Its totient is φ = 311751936.

The previous prime is 1413048419. The next prime is 1413048421. The reversal of 1413048420 is 248403141.

It is an interprime number because it is at equal distance from previous prime (1413048419) and next prime (1413048421).

It is not an unprimeable number, because it can be changed into a prime (1413048421) 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 95 ways as a sum of consecutive naturals, for example, 6336429 + ... + 6336651.

It is an arithmetic number, because the mean of its divisors is an integer number (17611776).

Almost surely, 2^1413048420 is an apocalyptic number.

1413048420 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 1413048420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2536095744).

1413048420 is an abundant number, since it is smaller than the sum of its proper divisors (3659143068).

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

1413048420 is a wasteful number, since it uses less digits than its factorization.

1413048420 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 399 (or 394 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 27.

The square root of 1413048420 is about 37590.5363090233. The cubic root of 1413048420 is about 1122.1537055766.

The spelling of 1413048420 in words is "one billion, four hundred thirteen million, forty-eight thousand, four hundred twenty".