5466411600 has 120 divisors (see below), whose sum is σ = 18857772192. Its totient is φ = 1345574400.

The previous prime is 5466411569. The next prime is 5466411619. The reversal of 5466411600 is 61146645.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (120).

It is a super-2 number, since 2×5466411600² = 59763311561229120000, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 159606 + ... + 190805.

Almost surely, 2^5466411600 is an apocalyptic number.

5466411600 is a gapful number since it is divisible by the number (50) formed by its first and last digit.

It is an amenable number.

5466411600 is an abundant number, since it is smaller than the sum of its proper divisors (13391360592).

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

5466411600 is a wasteful number, since it uses less digits than its factorization.

5466411600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 350445 (or 350434 counting only the distinct ones).

The product of its (nonzero) digits is 17280, while the sum is 33.

The square root of 5466411600 is about 73935.1851285976. The cubic root of 5466411600 is about 1761.5735324983.

It can be divided in two parts, 546 and 6411600, that added together give a palindrome (6412146).

The spelling of 5466411600 in words is "five billion, four hundred sixty-six million, four hundred eleven thousand, six hundred".