4783406400 has 336 divisors, whose sum is σ = 17665476480. Its totient is φ = 1274641920.

The previous prime is 4783406339. The next prime is 4783406413. The reversal of 4783406400 is 46043874.

4783406400 is a `hidden beast` number, since 4 + 7 + 8 + 3 + 4 + 0 + 640 + 0 = 666.

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, 3498517 + ... + 3499883.

Almost surely, 2^4783406400 is an apocalyptic number.

4783406400 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 4783406400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8832738240).

4783406400 is an abundant number, since it is smaller than the sum of its proper divisors (12882070080).

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

4783406400 is an equidigital number, since it uses as much as digits as its factorization.

4783406400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1410 (or 1377 counting only the distinct ones).

The product of its (nonzero) digits is 64512, while the sum is 36.

The square root of 4783406400 is about 69162.1746332488. The cubic root of 4783406400 is about 1684.9192552009.

The spelling of 4783406400 in words is "four billion, seven hundred eighty-three million, four hundred six thousand, four hundred".