1413132480 has 336 divisors, whose sum is σ = 5342107680. Its totient is φ = 354336768.

The previous prime is 1413132451. The next prime is 1413132493. The reversal of 1413132480 is 842313141.

1413132480 is a `hidden beast` number, since 1 + 413 + 1 + 3 + 248 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1321386 + ... + 1322454.

It is an arithmetic number, because the mean of its divisors is an integer number (15899130).

Almost surely, 2^1413132480 is an apocalyptic number.

1413132480 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 1413132480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2671053840).

1413132480 is an abundant number, since it is smaller than the sum of its proper divisors (3928975200).

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

1413132480 is a wasteful number, since it uses less digits than its factorization.

1413132480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1118 (or 1096 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 27.

The square root of 1413132480 is about 37591.6543929633. The cubic root of 1413132480 is about 1122.1759568476.

The spelling of 1413132480 in words is "one billion, four hundred thirteen million, one hundred thirty-two thousand, four hundred eighty".