46348800 has 240 divisors, whose sum is σ = 164400192. Its totient is φ = 11468800.

The previous prime is 46348793. The next prime is 46348801. The reversal of 46348800 is 884364.

It is a tau number, because it is divible by the number of its divisors (240).

It is a super-2 number, since 2×46348800² = 4296422522880000, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (46348801) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 652765 + ... + 652835.

Almost surely, 2^46348800 is an apocalyptic number.

46348800 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 46348800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (82200096).

46348800 is an abundant number, since it is smaller than the sum of its proper divisors (118051392).

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

46348800 is a wasteful number, since it uses less digits than its factorization.

46348800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 119 (or 98 counting only the distinct ones).

The product of its (nonzero) digits is 18432, while the sum is 33.

The square root of 46348800 is about 6807.9952996459. The cubic root of 46348800 is about 359.2081360187.

The spelling of 46348800 in words is "forty-six million, three hundred forty-eight thousand, eight hundred".