45506400 has 144 divisors (see below), whose sum is σ = 150865344. Its totient is φ = 11911680.

The previous prime is 45506393. The next prime is 45506401. The reversal of 45506400 is 460554.

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 (45506401) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 160659 + ... + 160941.

It is an arithmetic number, because the mean of its divisors is an integer number (1047676).

Almost surely, 2^45506400 is an apocalyptic number.

45506400 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 45506400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (75432672).

45506400 is an abundant number, since it is smaller than the sum of its proper divisors (105358944).

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

45506400 is a wasteful number, since it uses less digits than its factorization.

45506400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 373 (or 360 counting only the distinct ones).

The product of its (nonzero) digits is 2400, while the sum is 24.

The square root of 45506400 is about 6745.8431644977. The cubic root of 45506400 is about 357.0185868596.

Adding to 45506400 its reverse (460554), we get a palindrome (45966954).

The spelling of 45506400 in words is "forty-five million, five hundred six thousand, four hundred".