4660934400 has 540 divisors, whose sum is σ = 17772207992. Its totient is φ = 1209323520.

The previous prime is 4660934393. The next prime is 4660934401. The reversal of 4660934400 is 44390664.

4660934400 is a `hidden beast` number, since 4 + 6 + 609 + 3 + 4 + 40 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (540).

It is a super-2 number, since 2×4660934400² = 43448618962206720000, which contains 22 as substring.

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 (4660934401) by changing a digit.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 125971182 + ... + 125971218.

Almost surely, 2^4660934400 is an apocalyptic number.

4660934400 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 4660934400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8886103996).

4660934400 is an abundant number, since it is smaller than the sum of its proper divisors (13111273592).

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

4660934400 is an frugal number, since it uses more digits than its factorization.

4660934400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 90 (or 47 counting only the distinct ones).

The product of its (nonzero) digits is 62208, while the sum is 36.

The square root of 4660934400 is about 68271.0363184857. The cubic root of 4660934400 is about 1670.4148036738.

The spelling of 4660934400 in words is "four billion, six hundred sixty million, nine hundred thirty-four thousand, four hundred".