45464000 has 56 divisors (see below), whose sum is σ = 112611408. Its totient is φ = 18182400.

The previous prime is 45463991. The next prime is 45464033. The reversal of 45464000 is 46454.

It is a happy number.

45464000 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is an unprimeable number.

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 7 ways as a sum of consecutive naturals, for example, 5159 + ... + 10841.

It is an arithmetic number, because the mean of its divisors is an integer number (2010918).

Almost surely, 2^45464000 is an apocalyptic number.

45464000 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 45464000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (56305704).

45464000 is an abundant number, since it is smaller than the sum of its proper divisors (67147408).

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

45464000 is an equidigital number, since it uses as much as digits as its factorization.

45464000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5710 (or 5690 counting only the distinct ones).

The product of its (nonzero) digits is 1920, while the sum is 23.

The square root of 45464000 is about 6742.6997560324. The cubic root of 45464000 is about 356.9076699194.

The spelling of 45464000 in words is "forty-five million, four hundred sixty-four thousand".