45342400 has 84 divisors (see below), whose sum is σ = 118204488. Its totient is φ = 17059840.

The previous prime is 45342389. The next prime is 45342403. The reversal of 45342400 is 424354.

It is a happy number.

It is not an unprimeable number, because it can be changed into a prime (45342403) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 26367 + ... + 28033.

Almost surely, 2^45342400 is an apocalyptic number.

45342400 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 45342400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (59102244).

45342400 is an abundant number, since it is smaller than the sum of its proper divisors (72862088).

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

45342400 is a wasteful number, since it uses less digits than its factorization.

45342400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1706 (or 1691 counting only the distinct ones).

The product of its (nonzero) digits is 1920, while the sum is 22.

The square root of 45342400 is about 6733.6765589090. The cubic root of 45342400 is about 356.5891855258.

Adding to 45342400 its reverse (424354), we get a palindrome (45766754).

The spelling of 45342400 in words is "forty-five million, three hundred forty-two thousand, four hundred".