45408 has 48 divisors (see below), whose sum is σ = 133056. Its totient is φ = 13440.

The previous prime is 45403. The next prime is 45413. The reversal of 45408 is 80454.

It is an interprime number because it is at equal distance from previous prime (45403) and next prime (45413).

It is a tau number, because it is divible by the number of its divisors (48).

It is a plaindrome in base 13.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (45403) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1035 + ... + 1077.

It is an arithmetic number, because the mean of its divisors is an integer number (2772).

2⁴⁵⁴⁰⁸ is an apocalyptic number.

45408 is a gapful number since it is divisible by the number (48) 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 45408, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (66528).

45408 is an abundant number, since it is smaller than the sum of its proper divisors (87648).

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

45408 is a wasteful number, since it uses less digits than its factorization.

45408 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 67 (or 59 counting only the distinct ones).

The product of its (nonzero) digits is 640, while the sum is 21.

The square root of 45408 is about 213.0915296299. The cubic root of 45408 is about 35.6761070109.

The spelling of 45408 in words is "forty-five thousand, four hundred eight".