4459746400 has 72 divisors (see below), whose sum is σ = 10897271280. Its totient is φ = 1782274560.

The previous prime is 4459746373. The next prime is 4459746451. The reversal of 4459746400 is 46479544.

It is a hoax number, since the sum of its digits (43) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1283866 + ... + 1287334.

It is an arithmetic number, because the mean of its divisors is an integer number (151350990).

Almost surely, 2^4459746400 is an apocalyptic number.

4459746400 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 4459746400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5448635640).

4459746400 is an abundant number, since it is smaller than the sum of its proper divisors (6437524880).

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

4459746400 is a wasteful number, since it uses less digits than its factorization.

4459746400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5096 (or 5083 counting only the distinct ones).

The product of its (nonzero) digits is 483840, while the sum is 43.

The square root of 4459746400 is about 66781.3327210531. The cubic root of 4459746400 is about 1646.0261149102.

The spelling of 4459746400 in words is "four billion, four hundred fifty-nine million, seven hundred forty-six thousand, four hundred".