4651552400 has 240 divisors, whose sum is σ = 12647190528. Its totient is φ = 1629504000.

The previous prime is 4651552379. The next prime is 4651552403. The reversal of 4651552400 is 42551564.

It is not an unprimeable number, because it can be changed into a prime (4651552403) 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, 17164265 + ... + 17164535.

Almost surely, 2^4651552400 is an apocalyptic number.

4651552400 is a gapful number since it is divisible by the number (40) 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 4651552400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6323595264).

4651552400 is an abundant number, since it is smaller than the sum of its proper divisors (7995638128).

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

4651552400 is a wasteful number, since it uses less digits than its factorization.

4651552400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 430 (or 419 counting only the distinct ones).

The product of its (nonzero) digits is 24000, while the sum is 32.

The square root of 4651552400 is about 68202.2902841246. The cubic root of 4651552400 is about 1669.2932575488.

The spelling of 4651552400 in words is "four billion, six hundred fifty-one million, five hundred fifty-two thousand, four hundred".