4493966400 has 1008 divisors, whose sum is σ = 20896966080. Its totient is φ = 928972800.

The previous prime is 4493966381. The next prime is 4493966423. The reversal of 4493966400 is 46693944.

4493966400 = 128³ + 129³ + ... + 367³.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (1008).

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

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 23284704 + ... + 23284896.

Almost surely, 2^4493966400 is an apocalyptic number.

4493966400 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 4493966400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10448483040).

4493966400 is an abundant number, since it is smaller than the sum of its proper divisors (16402999680).

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

4493966400 is a wasteful number, since it uses less digits than its factorization.

4493966400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 249 (or 221 counting only the distinct ones).

The product of its (nonzero) digits is 559872, while the sum is 45.

The square root of 4493966400 is about 67037.0524411687. The cubic root of 4493966400 is about 1650.2254237466.

The spelling of 4493966400 in words is "four billion, four hundred ninety-three million, nine hundred sixty-six thousand, four hundred".