1358480160 has 240 divisors, whose sum is σ = 4925616696. Its totient is φ = 352346112.

The previous prime is 1358480113. The next prime is 1358480161. The reversal of 1358480160 is 610848531.

1358480160 is a `hidden beast` number, since 13 + 5 + 8 + 480 + 160 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 1247219856 + 111260304 = 35316^2 + 10548^2 .

It is a tau number, because it is divible by the number of its divisors (240).

It is a super-2 number, since 2×1358480160² = 3690936690227251200, which contains 22 as substring.

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

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 (1358480161) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 478104 + ... + 480936.

Almost surely, 2^1358480160 is an apocalyptic number.

1358480160 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 1358480160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2462808348).

1358480160 is an abundant number, since it is smaller than the sum of its proper divisors (3567136536).

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

1358480160 is a wasteful number, since it uses less digits than its factorization.

1358480160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2897 (or 2880 counting only the distinct ones).

The product of its (nonzero) digits is 23040, while the sum is 36.

The square root of 1358480160 is about 36857.5658447489. The cubic root of 1358480160 is about 1107.5187821126.

The spelling of 1358480160 in words is "one billion, three hundred fifty-eight million, four hundred eighty thousand, one hundred sixty".