1359456000 has 648 divisors, whose sum is σ = 5579801136. Its totient is φ = 292454400.

The previous prime is 1359455987. The next prime is 1359456013. The reversal of 1359456000 is 6549531.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (1359455987) and next prime (1359456013).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 79967992 + ... + 79968008.

Almost surely, 2^1359456000 is an apocalyptic number.

1359456000 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 1359456000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2789900568).

1359456000 is an abundant number, since it is smaller than the sum of its proper divisors (4220345136).

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

1359456000 is an equidigital number, since it uses as much as digits as its factorization.

1359456000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 82 (or 34 counting only the distinct ones).

The product of its (nonzero) digits is 16200, while the sum is 33.

The square root of 1359456000 is about 36870.8014558946. The cubic root of 1359456000 is about 1107.7839074298.

The spelling of 1359456000 in words is "one billion, three hundred fifty-nine million, four hundred fifty-six thousand".