1358430080 has 128 divisors (see below), whose sum is σ = 3907008000. Its totient is φ = 441206784.

The previous prime is 1358430079. The next prime is 1358430089. The reversal of 1358430080 is 800348531.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (128).

It is a Harshad number since it is a multiple of its sum of digits (32).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1358430089) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 77141 + ... + 93099.

It is an arithmetic number, because the mean of its divisors is an integer number (30523500).

Almost surely, 2^1358430080 is an apocalyptic number.

1358430080 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 1358430080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1953504000).

1358430080 is an abundant number, since it is smaller than the sum of its proper divisors (2548577920).

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

1358430080 is a wasteful number, since it uses less digits than its factorization.

1358430080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 16004 (or 15992 counting only the distinct ones).

The product of its (nonzero) digits is 11520, while the sum is 32.

The square root of 1358430080 is about 36856.8864664393. The cubic root of 1358430080 is about 1107.5051724863.

The spelling of 1358430080 in words is "one billion, three hundred fifty-eight million, four hundred thirty thousand, eighty".