45434400 has 144 divisors (see below), whose sum is σ = 161427168. Its totient is φ = 11008000.

The previous prime is 45434399. The next prime is 45434413. The reversal of 45434400 is 443454.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 25540 + ... + 27260.

It is an arithmetic number, because the mean of its divisors is an integer number (1121022).

Almost surely, 2^45434400 is an apocalyptic number.

45434400 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 45434400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (80713584).

45434400 is an abundant number, since it is smaller than the sum of its proper divisors (115992768).

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

45434400 is a wasteful number, since it uses less digits than its factorization.

45434400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1755 (or 1742 counting only the distinct ones).

The product of its (nonzero) digits is 3840, while the sum is 24.

The square root of 45434400 is about 6740.5044321623. The cubic root of 45434400 is about 356.8301964563.

Adding to 45434400 its reverse (443454), we get a palindrome (45877854).

The spelling of 45434400 in words is "forty-five million, four hundred thirty-four thousand, four hundred".