45260800 has 168 divisors, whose sum is σ = 127983996. Its totient is φ = 15728640.

The previous prime is 45260791. The next prime is 45260801. The reversal of 45260800 is 806254.

It can be written as a sum of positive squares in 6 ways, for example, as 14258176 + 31002624 = 3776^2 + 5568^2 .

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (45260801) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 2662392 + ... + 2662408.

Almost surely, 2^45260800 is an apocalyptic number.

45260800 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 45260800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (63991998).

45260800 is an abundant number, since it is smaller than the sum of its proper divisors (82723196).

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

45260800 is a wasteful number, since it uses less digits than its factorization.

45260800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 66 (or 37 counting only the distinct ones).

The product of its (nonzero) digits is 1920, while the sum is 25.

The square root of 45260800 is about 6727.6147333212. The cubic root of 45260800 is about 356.3751463474.

The spelling of 45260800 in words is "forty-five million, two hundred sixty thousand, eight hundred".