467213260900 has 81 divisors (see below), whose sum is σ = 1050464427649. Its totient is φ = 180364428160.

The previous prime is 467213260879. The next prime is 467213260907. The reversal of 467213260900 is 9062312764.

It is a happy number.

The square root of 467213260900 is 683530.

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

It can be written as a sum of positive squares in 13 ways, for example, as 420145090596 + 47068170304 = 648186^2 + 216952^2 .

It is a super-2 number, since 2×467213260900² (a number of 24 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (467213260907) 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, 198222522 + ... + 198224878.

Almost surely, 2^467213260900 is an apocalyptic number.

467213260900 is the 683530-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 467213260900

467213260900 is an abundant number, since it is smaller than the sum of its proper divisors (583251166749).

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

467213260900 is an equidigital number, since it uses as much as digits as its factorization.

467213260900 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4786 (or 2393 counting only the distinct ones).

The product of its (nonzero) digits is 108864, while the sum is 40.

The spelling of 467213260900 in words is "four hundred sixty-seven billion, two hundred thirteen million, two hundred sixty thousand, nine hundred".