1358214480 has 320 divisors, whose sum is σ = 5417510400. Its totient is φ = 310169088.

The previous prime is 1358214401. The next prime is 1358214491. The reversal of 1358214480 is 844128531.

1358214480 is a `hidden beast` number, since 135 + 82 + 1 + 448 + 0 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1224166 + ... + 1225274.

It is an arithmetic number, because the mean of its divisors is an integer number (16929720).

Almost surely, 2^1358214480 is an apocalyptic number.

1358214480 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 1358214480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2708755200).

1358214480 is an abundant number, since it is smaller than the sum of its proper divisors (4059295920).

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

1358214480 is an equidigital number, since it uses as much as digits as its factorization.

1358214480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1150 (or 1126 counting only the distinct ones).

The product of its (nonzero) digits is 30720, while the sum is 36.

The square root of 1358214480 is about 36853.9615238308. The cubic root of 1358214480 is about 1107.4465777029.

The spelling of 1358214480 in words is "one billion, three hundred fifty-eight million, two hundred fourteen thousand, four hundred eighty".