45384000 has 224 divisors, whose sum is σ = 157228032. Its totient is φ = 11520000.

The previous prime is 45383971. The next prime is 45384011. The reversal of 45384000 is 48354.

It is a happy number.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 743970 + ... + 744030.

Almost surely, 2^45384000 is an apocalyptic number.

45384000 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 45384000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (78614016).

45384000 is an abundant number, since it is smaller than the sum of its proper divisors (111844032).

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

45384000 is a wasteful number, since it uses less digits than its factorization.

45384000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 122 (or 102 counting only the distinct ones).

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

The square root of 45384000 is about 6736.7648021881. The cubic root of 45384000 is about 356.6982047208.

The spelling of 45384000 in words is "forty-five million, three hundred eighty-four thousand".