4261478400 has 459 divisors, whose sum is σ = 16216235191. Its totient is φ = 1069547520.

The previous prime is 4261478381. The next prime is 4261478413. The reversal of 4261478400 is 48741624.

The square root of 4261478400 is 65280.

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

It can be written as a sum of positive squares in 4 ways, for example, as 99680256 + 4161798144 = 9984^2 + 64512^2 .

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

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 250675192 + ... + 250675208.

Almost surely, 2^4261478400 is an apocalyptic number.

4261478400 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

4261478400 is the 65280-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4261478400

4261478400 is an abundant number, since it is smaller than the sum of its proper divisors (11954756791).

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

4261478400 is an equidigital number, since it uses as much as digits as its factorization.

4261478400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 82 (or 27 counting only the distinct ones).

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

The cubic root of 4261478400 is about 1621.2628470434.

Multiplying 4261478400 by its sum of digits (36), we get a square (153413222400 = 391680²).

4261478400 divided by its sum of digits (36) gives a square (118374400 = 10880²).

The spelling of 4261478400 in words is "four billion, two hundred sixty-one million, four hundred seventy-eight thousand, four hundred".