227509920400 has 135 divisors (see below), whose sum is σ = 636018869289. Its totient is φ = 77980506240.

The previous prime is 227509920389. The next prime is 227509920431. The reversal of 227509920400 is 4029905722.

The square root of 227509920400 is 476980.

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., 81903571344 + 145606349056 = 286188^2 + 381584^2 .

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

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, 66775497 + ... + 66778903.

Almost surely, 2^227509920400 is an apocalyptic number.

227509920400 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

227509920400 is the 476980-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 227509920400

227509920400 is an abundant number, since it is smaller than the sum of its proper divisors (408508948889).

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

227509920400 is an frugal number, since it uses more digits than its factorization.

227509920400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6846 (or 3421 counting only the distinct ones).

The product of its (nonzero) digits is 90720, while the sum is 40.

The spelling of 227509920400 in words is "two hundred twenty-seven billion, five hundred nine million, nine hundred twenty thousand, four hundred".