1485405600 has 432 divisors, whose sum is σ = 5963243328. Its totient is φ = 319119360.

The previous prime is 1485405577. The next prime is 1485405601. The reversal of 1485405600 is 65045841.

It is a super-2 number, since 2×1485405600² = 4412859593022720000, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (1485405601) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 1998829 + ... + 1999571.

It is an arithmetic number, because the mean of its divisors is an integer number (13803804).

Almost surely, 2^1485405600 is an apocalyptic number.

1485405600 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 1485405600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2981621664).

1485405600 is an abundant number, since it is smaller than the sum of its proper divisors (4477837728).

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

1485405600 is a wasteful number, since it uses less digits than its factorization.

1485405600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 797 (or 777 counting only the distinct ones).

The product of its (nonzero) digits is 19200, while the sum is 33.

The square root of 1485405600 is about 38540.9600295582. The cubic root of 1485405600 is about 1140.9895993130.

The spelling of 1485405600 in words is "one billion, four hundred eighty-five million, four hundred five thousand, six hundred".