1485993600 has 1008 divisors, whose sum is σ = 6894851670. Its totient is φ = 313528320.

The previous prime is 1485993583. The next prime is 1485993617. The reversal of 1485993600 is 63995841.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (1485993583) and next prime (1485993617).

It can be written as a sum of positive squares in 3 ways, for example, as 825297984 + 660695616 = 28728^2 + 25704^2 .

It is a tau number, because it is divible by the number of its divisors (1008).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 125 ways as a sum of consecutive naturals, for example, 114307194 + ... + 114307206.

Almost surely, 2^1485993600 is an apocalyptic number.

1485993600 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 1485993600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3447425835).

1485993600 is an abundant number, since it is smaller than the sum of its proper divisors (5408858070).

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

1485993600 is an equidigital number, since it uses as much as digits as its factorization.

1485993600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 69 (or 30 counting only the distinct ones).

The product of its (nonzero) digits is 233280, while the sum is 45.

The square root of 1485993600 is about 38548.5875227615. The cubic root of 1485993600 is about 1141.1401335909.

The spelling of 1485993600 in words is "one billion, four hundred eighty-five million, nine hundred ninety-three thousand, six hundred".