4936226400 has 288 divisors, whose sum is σ = 20403694080. Its totient is φ = 1128245760.

The previous prime is 4936226363. The next prime is 4936226417. The reversal of 4936226400 is 46226394.

4936226400 is a `hidden beast` number, since 4 + 9 + 3 + 6 + 2 + 2 + 640 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 134877 + ... + 167523.

It is an arithmetic number, because the mean of its divisors is an integer number (70846160).

Almost surely, 2^4936226400 is an apocalyptic number.

4936226400 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 4936226400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10201847040).

4936226400 is an abundant number, since it is smaller than the sum of its proper divisors (15467467680).

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

4936226400 is a wasteful number, since it uses less digits than its factorization.

4936226400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 32683 (or 32664 counting only the distinct ones).

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

The square root of 4936226400 is about 70258.2834973927. The cubic root of 4936226400 is about 1702.6747283263.

The spelling of 4936226400 in words is "four billion, nine hundred thirty-six million, two hundred twenty-six thousand, four hundred".