45534400 has 84 divisors (see below), whose sum is σ = 113385600. Its totient is φ = 17996800.

The previous prime is 45534373. The next prime is 45534409. The reversal of 45534400 is 443554.

It is a Harshad number since it is a multiple of its sum of digits (25).

It is not an unprimeable number, because it can be changed into a prime (45534409) 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, 238305 + ... + 238495.

Almost surely, 2^45534400 is an apocalyptic number.

45534400 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 45534400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (56692800).

45534400 is an abundant number, since it is smaller than the sum of its proper divisors (67851200).

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

45534400 is a wasteful number, since it uses less digits than its factorization.

45534400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 362 (or 347 counting only the distinct ones).

The product of its (nonzero) digits is 4800, while the sum is 25.

The square root of 45534400 is about 6747.9181974888. The cubic root of 45534400 is about 357.0917961287.

Adding to 45534400 its reverse (443554), we get a palindrome (45977954).

The spelling of 45534400 in words is "forty-five million, five hundred thirty-four thousand, four hundred".