1653425280 has 384 divisors, whose sum is σ = 6255325440. Its totient is φ = 399974400.

The previous prime is 1653425273. The next prime is 1653425297. The reversal of 1653425280 is 825243561.

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 an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 5316325 + ... + 5316635.

It is an arithmetic number, because the mean of its divisors is an integer number (16289910).

Almost surely, 2^1653425280 is an apocalyptic number.

1653425280 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 1653425280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3127662720).

1653425280 is an abundant number, since it is smaller than the sum of its proper divisors (4601900160).

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

1653425280 is a wasteful number, since it uses less digits than its factorization.

1653425280 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 420 (or 405 counting only the distinct ones).

The product of its (nonzero) digits is 57600, while the sum is 36.

The square root of 1653425280 is about 40662.3324466268. The cubic root of 1653425280 is about 1182.4828693545.

It can be divided in two parts, 16534 and 25280, that added together give a palindrome (41814).

The spelling of 1653425280 in words is "one billion, six hundred fifty-three million, four hundred twenty-five thousand, two hundred eighty".