45464100 has 144 divisors (see below), whose sum is σ = 149990400. Its totient is φ = 10524800.

The previous prime is 45464099. The next prime is 45464101. The reversal of 45464100 is 146454.

45464100 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (45464099) and next prime (45464101).

It is not an unprimeable number, because it can be changed into a prime (45464101) 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 47 ways as a sum of consecutive naturals, for example, 75601 + ... + 76199.

It is an arithmetic number, because the mean of its divisors is an integer number (1041600).

Almost surely, 2^45464100 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 45464100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (74995200).

45464100 is an abundant number, since it is smaller than the sum of its proper divisors (104526300).

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

45464100 is a wasteful number, since it uses less digits than its factorization.

45464100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 650 (or 643 counting only the distinct ones).

The product of its (nonzero) digits is 1920, while the sum is 24.

The square root of 45464100 is about 6742.7071714557. The cubic root of 45464100 is about 356.9079315971.

It can be divided in two parts, 4546 and 4100, that added together give a triangular number (8646 = T₁₃₁).

The spelling of 45464100 in words is "forty-five million, four hundred sixty-four thousand, one hundred".