46284800 has 90 divisors (see below), whose sum is σ = 115798578. Its totient is φ = 18350080.

The previous prime is 46284737. The next prime is 46284869. The reversal of 46284800 is 848264.

It can be written as a sum of positive squares in 3 ways, for example, as 262144 + 46022656 = 512^2 + 6784^2 .

It is a super-2 number, since 2×46284800² = 4284565422080000, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (32).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (5) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 409544 + ... + 409656.

Almost surely, 2^46284800 is an apocalyptic number.

46284800 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 46284800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (57899289).

46284800 is an abundant number, since it is smaller than the sum of its proper divisors (69513778).

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

46284800 is an equidigital number, since it uses as much as digits as its factorization.

46284800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 151 (or 120 counting only the distinct ones).

The product of its (nonzero) digits is 12288, while the sum is 32.

The square root of 46284800 is about 6803.2933201502. The cubic root of 46284800 is about 359.0427242547.

The spelling of 46284800 in words is "forty-six million, two hundred eighty-four thousand, eight hundred".