46455200 has 72 divisors (see below), whose sum is σ = 123742080. Its totient is φ = 16889600.

The previous prime is 46455197. The next prime is 46455217. The reversal of 46455200 is 255464.

It is a self number, because there is not a number n which added to its sum of digits gives 46455200.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 6161 + ... + 11439.

It is an arithmetic number, because the mean of its divisors is an integer number (1718640).

Almost surely, 2^46455200 is an apocalyptic number.

46455200 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 46455200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (61871040).

46455200 is an abundant number, since it is smaller than the sum of its proper divisors (77286880).

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

46455200 is a wasteful number, since it uses less digits than its factorization.

46455200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5310 (or 5297 counting only the distinct ones).

The product of its (nonzero) digits is 4800, while the sum is 26.

The square root of 46455200 is about 6815.8051615345. The cubic root of 46455200 is about 359.4827963961.

The spelling of 46455200 in words is "forty-six million, four hundred fifty-five thousand, two hundred".