1605480000 has 280 divisors, whose sum is σ = 5627473632. Its totient is φ = 402432000.

The previous prime is 1605479947. The next prime is 1605480001. The reversal of 1605480000 is 845061.

1605480000 is digitally balanced in base 4, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1605480001) 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, 2039607 + ... + 2040393.

Almost surely, 2^1605480000 is an apocalyptic number.

1605480000 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 1605480000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2813736816).

1605480000 is an abundant number, since it is smaller than the sum of its proper divisors (4021993632).

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

1605480000 is an equidigital number, since it uses as much as digits as its factorization.

1605480000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 839 (or 814 counting only the distinct ones).

The product of its (nonzero) digits is 960, while the sum is 24.

The square root of 1605480000 is about 40068.4414471040. The cubic root of 1605480000 is about 1170.9408751439.

The spelling of 1605480000 in words is "one billion, six hundred five million, four hundred eighty thousand".