1413678240 has 432 divisors, whose sum is σ = 5399169048. Its totient is φ = 336420864.

The previous prime is 1413678239. The next prime is 1413678241. The reversal of 1413678240 is 428763141.

It is an interprime number because it is at equal distance from previous prime (1413678239) and next prime (1413678241).

It can be written as a sum of positive squares in 12 ways, for example, as 3825936 + 1409852304 = 1956^2 + 37548^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 1413678195 and 1413678204.

It is not an unprimeable number, because it can be changed into a prime (1413678241) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 9004242 + ... + 9004398.

Almost surely, 2^1413678240 is an apocalyptic number.

1413678240 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 1413678240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2699584524).

1413678240 is an abundant number, since it is smaller than the sum of its proper divisors (3985490808).

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

1413678240 is a wasteful number, since it uses less digits than its factorization.

1413678240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 241 (or 217 counting only the distinct ones).

The product of its (nonzero) digits is 32256, while the sum is 36.

The square root of 1413678240 is about 37598.9127502379. The cubic root of 1413678240 is about 1122.3204018857.

The spelling of 1413678240 in words is "one billion, four hundred thirteen million, six hundred seventy-eight thousand, two hundred forty".