4612966400 has 288 divisors, whose sum is σ = 13348520640. Its totient is φ = 1548288000.

The previous prime is 4612966367. The next prime is 4612966409. The reversal of 4612966400 is 46692164.

It is a happy number.

It is not an unprimeable number, because it can be changed into a prime (4612966409) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 21862295 + ... + 21862505.

It is an arithmetic number, because the mean of its divisors is an integer number (46349030).

Almost surely, 2^4612966400 is an apocalyptic number.

4612966400 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 4612966400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6674260320).

4612966400 is an abundant number, since it is smaller than the sum of its proper divisors (8735554240).

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

4612966400 is a wasteful number, since it uses less digits than its factorization.

4612966400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 311 (or 286 counting only the distinct ones).

The product of its (nonzero) digits is 62208, while the sum is 38.

The square root of 4612966400 is about 67918.8221334852. The cubic root of 4612966400 is about 1664.6646752923.

The spelling of 4612966400 in words is "four billion, six hundred twelve million, nine hundred sixty-six thousand, four hundred".