45622800 has 360 divisors, whose sum is σ = 179899200. Its totient is φ = 10644480.

The previous prime is 45622799. The next prime is 45622807. The reversal of 45622800 is 822654.

It is a tau number, because it is divible by the number of its divisors (360).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (45622807) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 1573186 + ... + 1573214.

It is an arithmetic number, because the mean of its divisors is an integer number (499720).

Almost surely, 2^45622800 is an apocalyptic number.

45622800 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 45622800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (89949600).

45622800 is an abundant number, since it is smaller than the sum of its proper divisors (134276400).

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

45622800 is a wasteful number, since it uses less digits than its factorization.

45622800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 95 (or 81 counting only the distinct ones).

The product of its (nonzero) digits is 3840, while the sum is 27.

The square root of 45622800 is about 6754.4651897837. The cubic root of 45622800 is about 357.3227314866.

The spelling of 45622800 in words is "forty-five million, six hundred twenty-two thousand, eight hundred".