45348000 has 96 divisors (see below), whose sum is σ = 148599360. Its totient is φ = 12089600.

The previous prime is 45347987. The next prime is 45348007. The reversal of 45348000 is 84354.

It is a happy number.

45348000 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (96).

It is a super-2 number, since 2×45348000² = 4112882208000000, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (45348007) 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 15 ways as a sum of consecutive naturals, for example, 10111 + ... + 13889.

It is an arithmetic number, because the mean of its divisors is an integer number (1547910).

Almost surely, 2^45348000 is an apocalyptic number.

45348000 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 45348000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (74299680).

45348000 is an abundant number, since it is smaller than the sum of its proper divisors (103251360).

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

45348000 is a wasteful number, since it uses less digits than its factorization.

45348000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3807 (or 3789 counting only the distinct ones).

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

The square root of 45348000 is about 6734.0923664589. The cubic root of 45348000 is about 356.6038650696.

The spelling of 45348000 in words is "forty-five million, three hundred forty-eight thousand".