1653098400 has 216 divisors, whose sum is σ = 5853687840. Its totient is φ = 438981120.

The previous prime is 1653098399. The next prime is 1653098413. The reversal of 1653098400 is 48903561.

1653098400 is a `hidden beast` number, since 165 + 3 + 0 + 98 + 400 = 666.

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

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

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 35 ways as a sum of consecutive naturals, for example, 3160539 + ... + 3161061.

Almost surely, 2^1653098400 is an apocalyptic number.

1653098400 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 1653098400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2926843920).

1653098400 is an abundant number, since it is smaller than the sum of its proper divisors (4200589440).

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

1653098400 is a wasteful number, since it uses less digits than its factorization.

1653098400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 988 (or 972 counting only the distinct ones).

The product of its (nonzero) digits is 25920, while the sum is 36.

The square root of 1653098400 is about 40658.3128031649. The cubic root of 1653098400 is about 1182.4049391168.

The spelling of 1653098400 in words is "one billion, six hundred fifty-three million, ninety-eight thousand, four hundred".