1359240480 has 192 divisors, whose sum is σ = 5123502720. Its totient is φ = 334568448.

The previous prime is 1359240461. The next prime is 1359240481. The reversal of 1359240480 is 840429531.

1359240480 is a `hidden beast` number, since 135 + 9 + 2 + 40 + 480 = 666.

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

It is not an unprimeable number, because it can be changed into a prime (1359240481) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 44059 + ... + 68261.

It is an arithmetic number, because the mean of its divisors is an integer number (26684910).

Almost surely, 2^1359240480 is an apocalyptic number.

1359240480 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 1359240480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2561751360).

1359240480 is an abundant number, since it is smaller than the sum of its proper divisors (3764262240).

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

1359240480 is a wasteful number, since it uses less digits than its factorization.

1359240480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 24240 (or 24226 counting only the distinct ones).

The product of its (nonzero) digits is 34560, while the sum is 36.

The square root of 1359240480 is about 36867.8787021982. The cubic root of 1359240480 is about 1107.7253638639.

The spelling of 1359240480 in words is "one billion, three hundred fifty-nine million, two hundred forty thousand, four hundred eighty".