426722497600 has 189 divisors, whose sum is σ = 1221957048207. Its totient is φ = 146242145280.

The previous prime is 426722497589. The next prime is 426722497601. The reversal of 426722497600 is 6794227624.

The square root of 426722497600 is 653240.

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 37825582144 + 388896915456 = 194488^2 + 623616^2 .

It is a Harshad number since it is a multiple of its sum of digits (49).

It is not an unprimeable number, because it can be changed into a prime (426722497601) by changing a digit.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 182906034 + ... + 182908366.

Almost surely, 2^426722497600 is an apocalyptic number.

426722497600 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

426722497600 is the 653240-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 426722497600

426722497600 is an abundant number, since it is smaller than the sum of its proper divisors (795234550607).

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

426722497600 is an frugal number, since it uses more digits than its factorization.

426722497600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4702 (or 2347 counting only the distinct ones).

The product of its (nonzero) digits is 2032128, while the sum is 49.

Multiplying 426722497600 by its sum of digits (49), we get a square (20909402382400 = 4572680²).

426722497600 divided by its sum of digits (49) gives a square (8708622400 = 93320²).

The spelling of 426722497600 in words is "four hundred twenty-six billion, seven hundred twenty-two million, four hundred ninety-seven thousand, six hundred".