46464100 has 36 divisors (see below), whose sum is σ = 101317300. Its totient is φ = 18495360.

The previous prime is 46464097. The next prime is 46464107. The reversal of 46464100 is 146464.

46464100 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 6 ways, for example, as 9400356 + 37063744 = 3066^2 + 6088^2 .

It is a Harshad number since it is a multiple of its sum of digits (25).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (46464107) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 21886 + ... + 23914.

Almost surely, 2^46464100 is an apocalyptic number.

It is an amenable number.

46464100 is an abundant number, since it is smaller than the sum of its proper divisors (54853200).

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

46464100 is a wasteful number, since it uses less digits than its factorization.

46464100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2272 (or 2265 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 25.

The square root of 46464100 is about 6816.4580245168. The cubic root of 46464100 is about 359.5057517925.

It can be divided in two parts, 46464 and 100, that added together give a palindrome (46564).

The spelling of 46464100 in words is "forty-six million, four hundred sixty-four thousand, one hundred".