1653409890 has 96 divisors (see below), whose sum is σ = 4704163776. Its totient is φ = 399588480.

The previous prime is 1653409859. The next prime is 1653409907. The reversal of 1653409890 is 989043561.

It is a happy number.

1653409890 is a `hidden beast` number, since 165 + 3 + 409 + 89 + 0 = 666.

It is a Smith number, since the sum of its digits (45) coincides with the sum of the digits of its prime factors.

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

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 47 ways as a sum of consecutive naturals, for example, 341124 + ... + 345936.

It is an arithmetic number, because the mean of its divisors is an integer number (49001706).

Almost surely, 2^1653409890 is an apocalyptic number.

1653409890 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 1653409890, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2352081888).

1653409890 is an abundant number, since it is smaller than the sum of its proper divisors (3050753886).

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

1653409890 is a wasteful number, since it uses less digits than its factorization.

1653409890 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5184 (or 5181 counting only the distinct ones).

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

The square root of 1653409890 is about 40662.1432047058. The cubic root of 1653409890 is about 1182.4792005126.

The spelling of 1653409890 in words is "one billion, six hundred fifty-three million, four hundred nine thousand, eight hundred ninety".