1413780480 has 440 divisors, whose sum is σ = 5801820288. Its totient is φ = 322486272.

The previous prime is 1413780463. The next prime is 1413780497. The reversal of 1413780480 is 840873141.

1413780480 is a `hidden beast` number, since 141 + 37 + 8 + 0 + 480 = 666.

It is an interprime number because it is at equal distance from previous prime (1413780463) and next prime (1413780497).

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 2902797 + ... + 2903283.

Almost surely, 2^1413780480 is an apocalyptic number.

1413780480 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 1413780480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2900910144).

1413780480 is an abundant number, since it is smaller than the sum of its proper divisors (4388039808).

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

1413780480 is an equidigital number, since it uses as much as digits as its factorization.

1413780480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 531 (or 504 counting only the distinct ones).

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

The square root of 1413780480 is about 37600.2723394392. The cubic root of 1413780480 is about 1122.3474573755.

The spelling of 1413780480 in words is "one billion, four hundred thirteen million, seven hundred eighty thousand, four hundred eighty".