46345200 has 120 divisors (see below), whose sum is σ = 162001536. Its totient is φ = 11232000.

The previous prime is 46345193. The next prime is 46345223. The reversal of 46345200 is 254364.

46345200 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 (24).

It is a congruent number.

It is an unprimeable number.

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, 11445 + ... + 14955.

Almost surely, 2^46345200 is an apocalyptic number.

46345200 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 46345200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (81000768).

46345200 is an abundant number, since it is smaller than the sum of its proper divisors (115656336).

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

46345200 is a wasteful number, since it uses less digits than its factorization.

46345200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3543 (or 3532 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 24.

The square root of 46345200 is about 6807.7308994995. The cubic root of 46345200 is about 359.1988356501.

Adding to 46345200 its reverse (254364), we get a palindrome (46599564).

The spelling of 46345200 in words is "forty-six million, three hundred forty-five thousand, two hundred".