466378100 has 18 divisors (see below), whose sum is σ = 1012040694. Its totient is φ = 186551200.

The previous prime is 466378069. The next prime is 466378103. The reversal of 466378100 is 1873664.

It can be written as a sum of positive squares in 3 ways, for example, as 157602916 + 308775184 = 12554^2 + 17572^2 .

It is a super-2 number, since 2×466378100² = 435017064319220000, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (466378103) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 2331791 + ... + 2331990.

It is an arithmetic number, because the mean of its divisors is an integer number (56224483).

Almost surely, 2^466378100 is an apocalyptic number.

It is an amenable number.

466378100 is an abundant number, since it is smaller than the sum of its proper divisors (545662594).

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

466378100 is a wasteful number, since it uses less digits than its factorization.

466378100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4663795 (or 4663788 counting only the distinct ones).

The product of its (nonzero) digits is 24192, while the sum is 35.

The square root of 466378100 is about 21595.7889413654. The cubic root of 466378100 is about 775.4956801268.

The spelling of 466378100 in words is "four hundred sixty-six million, three hundred seventy-eight thousand, one hundred".