4045464500 has 288 divisors, whose sum is σ = 11885118336. Its totient is φ = 1185408000.

The previous prime is 4045464497. The next prime is 4045464559. The reversal of 4045464500 is 54645404.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 4581059 + ... + 4581941.

It is an arithmetic number, because the mean of its divisors is an integer number (41267772).

Almost surely, 2^4045464500 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 4045464500, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5942559168).

4045464500 is an abundant number, since it is smaller than the sum of its proper divisors (7839653836).

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

4045464500 is a wasteful number, since it uses less digits than its factorization.

4045464500 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 944 (or 925 counting only the distinct ones).

The product of its (nonzero) digits is 38400, while the sum is 32.

The square root of 4045464500 is about 63603.9660713072. The cubic root of 4045464500 is about 1593.3926083156.

The spelling of 4045464500 in words is "four billion, forty-five million, four hundred sixty-four thousand, five hundred".