45274800 has 120 divisors (see below), whose sum is σ = 150146640. Its totient is φ = 11648000.

The previous prime is 45274799. The next prime is 45274807. The reversal of 45274800 is 847254.

45274800 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (120).

It is a Harshad number since it is a multiple of its sum of digits (30).

It is not an unprimeable number, because it can be changed into a prime (45274807) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 34150 + ... + 35450.

It is an arithmetic number, because the mean of its divisors is an integer number (1251222).

Almost surely, 2^45274800 is an apocalyptic number.

45274800 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 45274800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (75073320).

45274800 is an abundant number, since it is smaller than the sum of its proper divisors (104871840).

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

45274800 is a wasteful number, since it uses less digits than its factorization.

45274800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1351 (or 1340 counting only the distinct ones).

The product of its (nonzero) digits is 8960, while the sum is 30.

The square root of 45274800 is about 6728.6551405166. The cubic root of 45274800 is about 356.4118870275.

The spelling of 45274800 in words is "forty-five million, two hundred seventy-four thousand, eight hundred".