45546400 has 108 divisors (see below), whose sum is σ = 118715058. Its totient is φ = 17059840.

The previous prime is 45546359. The next prime is 45546427. The reversal of 45546400 is 464554.

It can be written as a sum of positive squares in 9 ways, for example, as 26501904 + 19044496 = 5148^2 + 4364^2 .

It is a super-3 number, since 3×45546400³ (a number of 24 digits) contains 333 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 231102 + ... + 231298.

Almost surely, 2^45546400 is an apocalyptic number.

45546400 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 45546400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (59357529).

45546400 is an abundant number, since it is smaller than the sum of its proper divisors (73168658).

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

45546400 is a wasteful number, since it uses less digits than its factorization.

45546400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 251 (or 221 counting only the distinct ones).

The product of its (nonzero) digits is 9600, while the sum is 28.

The square root of 45546400 is about 6748.8073020349. The cubic root of 45546400 is about 357.1231623425.

The spelling of 45546400 in words is "forty-five million, five hundred forty-six thousand, four hundred".