1653305472 has 384 divisors, whose sum is σ = 6120979200. Its totient is φ = 435456000.

The previous prime is 1653305449. The next prime is 1653305477. The reversal of 1653305472 is 2745033561.

1653305472 is a `hidden beast` number, since 1 + 6 + 533 + 0 + 54 + 72 = 666.

It is a tau number, because it is divible by the number of its divisors (384).

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 (1653305477) 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 47 ways as a sum of consecutive naturals, for example, 2201097 + ... + 2201847.

It is an arithmetic number, because the mean of its divisors is an integer number (15940050).

Almost surely, 2^1653305472 is an apocalyptic number.

1653305472 is a gapful number since it is divisible by the number (12) 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 1653305472, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3060489600).

1653305472 is an abundant number, since it is smaller than the sum of its proper divisors (4467673728).

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

1653305472 is a wasteful number, since it uses less digits than its factorization.

1653305472 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 801 (or 776 counting only the distinct ones).

The product of its (nonzero) digits is 75600, while the sum is 36.

The square root of 1653305472 is about 40660.8592137451. The cubic root of 1653305472 is about 1182.4543075700.

The spelling of 1653305472 in words is "one billion, six hundred fifty-three million, three hundred five thousand, four hundred seventy-two".