4906652400 has 360 divisors, whose sum is σ = 18658545360. Its totient is φ = 1186652160.

The previous prime is 4906652389. The next prime is 4906652407. The reversal of 4906652400 is 42566094.

It is a tau number, because it is divible by the number of its divisors (360).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4906652407) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 2760312 + ... + 2762088.

Almost surely, 2^4906652400 is an apocalyptic number.

4906652400 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 4906652400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9329272680).

4906652400 is an abundant number, since it is smaller than the sum of its proper divisors (13751892960).

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

4906652400 is a wasteful number, since it uses less digits than its factorization.

4906652400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1873 (or 1859 counting only the distinct ones).

The product of its (nonzero) digits is 51840, while the sum is 36.

The square root of 4906652400 is about 70047.5010260894. The cubic root of 4906652400 is about 1699.2675506730.

The spelling of 4906652400 in words is "four billion, nine hundred six million, six hundred fifty-two thousand, four hundred".