5406660900 has 405 divisors, whose sum is σ = 18937414881. Its totient is φ = 1334128320.

The previous prime is 5406660893. The next prime is 5406661009. The reversal of 5406660900 is 90666045.

It is a happy number.

The square root of 5406660900 is 73530.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in only one way, i.e., 1946397924 + 3460262976 = 44118^2 + 58824^2 .

It is a tau number, because it is divible by the number of its divisors (405).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 134 ways as a sum of consecutive naturals, for example, 125736279 + ... + 125736321.

Almost surely, 2^5406660900 is an apocalyptic number.

5406660900 is a gapful number since it is divisible by the number (50) formed by its first and last digit.

5406660900 is the 73530-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 5406660900

5406660900 is an abundant number, since it is smaller than the sum of its proper divisors (13530753981).

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

5406660900 is a wasteful number, since it uses less digits than its factorization.

5406660900 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 150 (or 72 counting only the distinct ones).

The product of its (nonzero) digits is 38880, while the sum is 36.

The cubic root of 5406660900 is about 1755.1317017096.

Multiplying 5406660900 by its sum of digits (36), we get a square (194639792400 = 441180²).

5406660900 divided by its sum of digits (36) gives a square (150185025 = 12255²).

The spelling of 5406660900 in words is "five billion, four hundred six million, six hundred sixty thousand, nine hundred".