1413540480 has 512 divisors, whose sum is σ = 5414584320. Its totient is φ = 309657600.

The previous prime is 1413540437. The next prime is 1413540481. The reversal of 1413540480 is 840453141.

1413540480 = 3273² + 3274² + ... + 3399².

It is a Harshad number since it is a multiple of its sum of digits (30).

It is not an unprimeable number, because it can be changed into a prime (1413540481) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 11130177 + ... + 11130303.

It is an arithmetic number, because the mean of its divisors is an integer number (10575360).

Almost surely, 2^1413540480 is an apocalyptic number.

1413540480 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 1413540480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2707292160).

1413540480 is an abundant number, since it is smaller than the sum of its proper divisors (4001043840).

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

1413540480 is a wasteful number, since it uses less digits than its factorization.

1413540480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 208 (or 196 counting only the distinct ones).

The product of its (nonzero) digits is 7680, while the sum is 30.

The square root of 1413540480 is about 37597.0807377381. The cubic root of 1413540480 is about 1122.2839447729.

It can be divided in two parts, 14135 and 40480, that added together give a triangular number (54615 = T₃₃₀).

The spelling of 1413540480 in words is "one billion, four hundred thirteen million, five hundred forty thousand, four hundred eighty".