1654048900 has 135 divisors (see below), whose sum is σ = 4238307941. Its totient is φ = 560269920.

The previous prime is 1654048867. The next prime is 1654048919. The reversal of 1654048900 is 98404561.

It is a happy number.

The square root of 1654048900 is 40670.

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., 595457604 + 1058591296 = 24402^2 + 32536^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 1654048900.

It is an unprimeable number.

It is a polite number, since it can be written in 44 ways as a sum of consecutive naturals, for example, 19928259 + ... + 19928341.

Almost surely, 2^1654048900 is an apocalyptic number.

1654048900 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

1654048900 is the 40670-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1654048900

1654048900 is an abundant number, since it is smaller than the sum of its proper divisors (2584259041).

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

1654048900 is an frugal number, since it uses more digits than its factorization.

1654048900 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 208 (or 97 counting only the distinct ones).

The product of its (nonzero) digits is 34560, while the sum is 37.

The cubic root of 1654048900 is about 1182.6315157805.

The spelling of 1654048900 in words is "one billion, six hundred fifty-four million, forty-eight thousand, nine hundred".