1479385600 has 480 divisors, whose sum is σ = 4871116800. Its totient is φ = 431308800.

The previous prime is 1479385549. The next prime is 1479385639. The reversal of 1479385600 is 65839741.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 18726361 + ... + 18726439.

It is an arithmetic number, because the mean of its divisors is an integer number (10148160).

Almost surely, 2^1479385600 is an apocalyptic number.

1479385600 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 1479385600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2435558400).

1479385600 is an abundant number, since it is smaller than the sum of its proper divisors (3391731200).

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

1479385600 is a wasteful number, since it uses less digits than its factorization.

1479385600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 144 (or 123 counting only the distinct ones).

The product of its (nonzero) digits is 181440, while the sum is 43.

The square root of 1479385600 is about 38462.7820106658. The cubic root of 1479385600 is about 1139.4461247024.

The spelling of 1479385600 in words is "one billion, four hundred seventy-nine million, three hundred eighty-five thousand, six hundred".