4781246400 has 672 divisors, whose sum is σ = 20248148480. Its totient is φ = 1074954240.

The previous prime is 4781246387. The next prime is 4781246423. The reversal of 4781246400 is 46421874.

4781246400 is a `hidden beast` number, since 4 + 7 + 8 + 1 + 2 + 4 + 640 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (672).

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 95 ways as a sum of consecutive naturals, for example, 29332719 + ... + 29332881.

Almost surely, 2^4781246400 is an apocalyptic number.

4781246400 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 4781246400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10124074240).

4781246400 is an abundant number, since it is smaller than the sum of its proper divisors (15466902080).

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

4781246400 is a wasteful number, since it uses less digits than its factorization.

4781246400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 298 (or 277 counting only the distinct ones).

The product of its (nonzero) digits is 43008, while the sum is 36.

The square root of 4781246400 is about 69146.5573980368. The cubic root of 4781246400 is about 1684.6656023831.

The spelling of 4781246400 in words is "four billion, seven hundred eighty-one million, two hundred forty-six thousand, four hundred".