45356800 has 108 divisors (see below), whose sum is σ = 118490680. Its totient is φ = 17141760.

The previous prime is 45356767. The next prime is 45356807. The reversal of 45356800 is 865354.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (45356807) 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, 121414 + ... + 121786.

Almost surely, 2^45356800 is an apocalyptic number.

45356800 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 45356800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (59245340).

45356800 is an abundant number, since it is smaller than the sum of its proper divisors (73133880).

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

45356800 is a wasteful number, since it uses less digits than its factorization.

45356800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 418 (or 399 counting only the distinct ones).

The product of its (nonzero) digits is 14400, while the sum is 31.

The square root of 45356800 is about 6734.7457264547. The cubic root of 45356800 is about 356.6269304826.

The spelling of 45356800 in words is "forty-five million, three hundred fifty-six thousand, eight hundred".