1358746480 has 240 divisors, whose sum is σ = 4002868800. Its totient is φ = 428553216.

The previous prime is 1358746451. The next prime is 1358746481. The reversal of 1358746480 is 846478531.

It is a happy number.

It is a nialpdrome in base 14.

It is a self number, because there is not a number n which added to its sum of digits gives 1358746480.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1358746481) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 4637214 + ... + 4637506.

It is an arithmetic number, because the mean of its divisors is an integer number (16678620).

Almost surely, 2^1358746480 is an apocalyptic number.

1358746480 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 1358746480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2001434400).

1358746480 is an abundant number, since it is smaller than the sum of its proper divisors (2644122320).

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

1358746480 is a wasteful number, since it uses less digits than its factorization.

1358746480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 353 (or 320 counting only the distinct ones).

The product of its (nonzero) digits is 645120, while the sum is 46.

The square root of 1358746480 is about 36861.1784944540. The cubic root of 1358746480 is about 1107.5911510090.

The spelling of 1358746480 in words is "one billion, three hundred fifty-eight million, seven hundred forty-six thousand, four hundred eighty".