660046400 has 126 divisors (see below), whose sum is σ = 1759390182. Its totient is φ = 243609600.

The previous prime is 660046379. The next prime is 660046411. The reversal of 660046400 is 4640066.

It can be written as a sum of positive squares in 9 ways, for example, as 554696704 + 105349696 = 23552^2 + 10264^2 .

It is a super-2 number, since 2×660046400² = 871322500305920000, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (26).

It is a self number, because there is not a number n which added to its sum of digits gives 660046400.

It is an unprimeable number.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 269180 + ... + 271620.

Almost surely, 2^660046400 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 660046400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (879695091).

660046400 is an abundant number, since it is smaller than the sum of its proper divisors (1099343782).

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

660046400 is a wasteful number, since it uses less digits than its factorization.

660046400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2489 (or 2461 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 26.

The square root of 660046400 is about 25691.3682002341. The cubic root of 660046400 is about 870.6791719559.

Adding to 660046400 its reverse (4640066), we get a palindrome (664686466).

The spelling of 660046400 in words is "six hundred sixty million, forty-six thousand, four hundred".