4681296400 has 135 divisors (see below), whose sum is σ = 12402078829. Its totient is φ = 1696816000.

The previous prime is 4681296359. The next prime is 4681296407. The reversal of 4681296400 is 46921864.

The square root of 4681296400 is 68420.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in only one way, i.e., 1685266704 + 2996029696 = 41052^2 + 54736^2 .

It is a Harshad number since it is a multiple of its sum of digits (40).

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (4681296407) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 15052245 + ... + 15052555.

Almost surely, 2^4681296400 is an apocalyptic number.

4681296400 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

4681296400 is the 68420-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4681296400

4681296400 is an abundant number, since it is smaller than the sum of its proper divisors (7720782429).

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

4681296400 is a wasteful number, since it uses less digits than its factorization.

4681296400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 662 (or 329 counting only the distinct ones).

The product of its (nonzero) digits is 82944, while the sum is 40.

The cubic root of 4681296400 is about 1672.8437569609.

Multiplying 4681296400 by its product of nonzero digits (82944), we get a square (388285448601600 = 19704960²).

The spelling of 4681296400 in words is "four billion, six hundred eighty-one million, two hundred ninety-six thousand, four hundred".