46380800 has 54 divisors (see below), whose sum is σ = 114815568. Its totient is φ = 18549760.

The previous prime is 46380793. The next prime is 46380823. The reversal of 46380800 is 808364.

It is a congruent number.

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 5 ways as a sum of consecutive naturals, for example, 2777 + ... + 10023.

Almost surely, 2^46380800 is an apocalyptic number.

46380800 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 46380800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (57407784).

46380800 is an abundant number, since it is smaller than the sum of its proper divisors (68434768).

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

46380800 is an equidigital number, since it uses as much as digits as its factorization.

46380800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7273 (or 7254 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 29.

The square root of 46380800 is about 6810.3450720209. The cubic root of 46380800 is about 359.2907848036.

The spelling of 46380800 in words is "forty-six million, three hundred eighty thousand, eight hundred".