4789652400 has 360 divisors, whose sum is σ = 18247175856. Its totient is φ = 1156147200.

The previous prime is 4789652393. The next prime is 4789652407. The reversal of 4789652400 is 42569874.

It is a happy number.

4789652400 is a `hidden beast` number, since 47 + 89 + 6 + 524 + 0 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (4789652393) and next prime (4789652407).

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

It is a super-2 number, since 2×4789652400² = 45881540225651520000, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is not an unprimeable number, because it can be changed into a prime (4789652407) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 2479435 + ... + 2481365.

Almost surely, 2^4789652400 is an apocalyptic number.

4789652400 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 4789652400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9123587928).

4789652400 is an abundant number, since it is smaller than the sum of its proper divisors (13457523456).

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

4789652400 is a wasteful number, since it uses less digits than its factorization.

4789652400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2021 (or 2007 counting only the distinct ones).

The product of its (nonzero) digits is 483840, while the sum is 45.

The square root of 4789652400 is about 69207.3146423122. The cubic root of 4789652400 is about 1685.6523052135.

The spelling of 4789652400 in words is "four billion, seven hundred eighty-nine million, six hundred fifty-two thousand, four hundred".