45522400 has 144 divisors (see below), whose sum is σ = 138741120. Its totient is φ = 14169600.

The previous prime is 45522397. The next prime is 45522403. The reversal of 45522400 is 422554.

It is an interprime number because it is at equal distance from previous prime (45522397) and next prime (45522403).

It is a Harshad number since it is a multiple of its sum of digits (22).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (45522403) 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, 61231 + ... + 61969.

It is an arithmetic number, because the mean of its divisors is an integer number (963480).

Almost surely, 2^45522400 is an apocalyptic number.

45522400 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 45522400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (69370560).

45522400 is an abundant number, since it is smaller than the sum of its proper divisors (93218720).

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

45522400 is a wasteful number, since it uses less digits than its factorization.

45522400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 777 (or 764 counting only the distinct ones).

The product of its (nonzero) digits is 1600, while the sum is 22.

The square root of 45522400 is about 6747.0289757789. The cubic root of 45522400 is about 357.0604244036.

Adding to 45522400 its reverse (422554), we get a palindrome (45944954).

The spelling of 45522400 in words is "forty-five million, five hundred twenty-two thousand, four hundred".