1653350400 has 672 divisors, whose sum is σ = 6825813120. Its totient is φ = 389283840.

The previous prime is 1653350393. The next prime is 1653350429. The reversal of 1653350400 is 40533561.

1653350400 is a `hidden beast` number, since 1 + 653 + 3 + 5 + 0 + 4 + 0 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 71884789 + ... + 71884811.

It is an arithmetic number, because the mean of its divisors is an integer number (10157460).

Almost surely, 2^1653350400 is an apocalyptic number.

1653350400 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 1653350400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3412906560).

1653350400 is an abundant number, since it is smaller than the sum of its proper divisors (5172462720).

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

1653350400 is a wasteful number, since it uses less digits than its factorization.

1653350400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 81 (or 46 counting only the distinct ones).

The product of its (nonzero) digits is 5400, while the sum is 27.

The square root of 1653350400 is about 40661.4116823310. The cubic root of 1653350400 is about 1182.4650184009.

Adding to 1653350400 its reverse (40533561), we get a palindrome (1693883961).

The spelling of 1653350400 in words is "one billion, six hundred fifty-three million, three hundred fifty thousand, four hundred".