45684000 has 288 divisors, whose sum is σ = 171714816. Its totient is φ = 11923200.

The previous prime is 45683951. The next prime is 45684013. The reversal of 45684000 is 48654.

It is a tau number, because it is divible by the number of its divisors (288).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a nialpdrome in base 6.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 971977 + ... + 972023.

It is an arithmetic number, because the mean of its divisors is an integer number (596232).

Almost surely, 2^45684000 is an apocalyptic number.

45684000 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 45684000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (85857408).

45684000 is an abundant number, since it is smaller than the sum of its proper divisors (126030816).

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

45684000 is an equidigital number, since it uses as much as digits as its factorization.

45684000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 87 (or 57 counting only the distinct ones).

The product of its (nonzero) digits is 3840, while the sum is 27.

The square root of 45684000 is about 6758.9940079867. The cubic root of 45684000 is about 357.4824351159.

The spelling of 45684000 in words is "forty-five million, six hundred eighty-four thousand".