427101460900 has 27 divisors (see below), whose sum is σ = 926824351971. Its totient is φ = 170837970240.

The previous prime is 427101460897. The next prime is 427101460901. The reversal of 427101460900 is 9064101724.

The square root of 427101460900 is 653530.

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 38633474916 + 388467985984 = 196554^2 + 623272^2 .

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (427101460901) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 6502624 + ... + 6567976.

Almost surely, 2^427101460900 is an apocalyptic number.

427101460900 is the 653530-th square number.

It is an amenable number.

427101460900 is an abundant number, since it is smaller than the sum of its proper divisors (499722891071).

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

427101460900 is an frugal number, since it uses more digits than its factorization.

427101460900 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 130720 (or 65360 counting only the distinct ones).

The product of its (nonzero) digits is 12096, while the sum is 34.

The spelling of 427101460900 in words is "four hundred twenty-seven billion, one hundred one million, four hundred sixty thousand, nine hundred".