1653155460 has 192 divisors, whose sum is σ = 5641574400. Its totient is φ = 398563200.

The previous prime is 1653155453. The next prime is 1653155461. The reversal of 1653155460 is 645513561.

1653155460 is a `hidden beast` number, since 16 + 5 + 31 + 554 + 60 = 666.

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

It is not an unprimeable number, because it can be changed into a prime (1653155461) by changing a digit.

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 63 ways as a sum of consecutive naturals, for example, 1252681 + ... + 1253999.

It is an arithmetic number, because the mean of its divisors is an integer number (29383200).

Almost surely, 2^1653155460 is an apocalyptic number.

1653155460 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1653155460, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2820787200).

1653155460 is an abundant number, since it is smaller than the sum of its proper divisors (3988418940).

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

1653155460 is a wasteful number, since it uses less digits than its factorization.

1653155460 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1559 (or 1551 counting only the distinct ones).

The product of its (nonzero) digits is 54000, while the sum is 36.

The square root of 1653155460 is about 40659.0144986324. The cubic root of 1653155460 is about 1182.4185433180.

The spelling of 1653155460 in words is "one billion, six hundred fifty-three million, one hundred fifty-five thousand, four hundred sixty".