1479552000 has 176 divisors, whose sum is σ = 4922822112. Its totient is φ = 394444800.

The previous prime is 1479551993. The next prime is 1479552029. The reversal of 1479552000 is 2559741.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 382074 + ... + 385926.

Almost surely, 2^1479552000 is an apocalyptic number.

1479552000 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 1479552000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2461411056).

1479552000 is an abundant number, since it is smaller than the sum of its proper divisors (3443270112).

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

1479552000 is an equidigital number, since it uses as much as digits as its factorization.

1479552000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3891 (or 3863 counting only the distinct ones).

The product of its (nonzero) digits is 12600, while the sum is 33.

The square root of 1479552000 is about 38464.9450799036. The cubic root of 1479552000 is about 1139.4888444023.

It can be divided in two parts, 14795 and 52000, that added together give a triangular number (66795 = T₃₆₅).

The spelling of 1479552000 in words is "one billion, four hundred seventy-nine million, five hundred fifty-two thousand".