46220800 has 120 divisors (see below), whose sum is σ = 120255696. Its totient is φ = 17571840.

The previous prime is 46220771. The next prime is 46220803. The reversal of 46220800 is 802264.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (46220803) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 294322 + ... + 294478.

Almost surely, 2^46220800 is an apocalyptic number.

46220800 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 46220800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (60127848).

46220800 is an abundant number, since it is smaller than the sum of its proper divisors (74034896).

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

46220800 is a wasteful number, since it uses less digits than its factorization.

46220800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 208 (or 187 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 22.

The square root of 46220800 is about 6798.5880887137. The cubic root of 46220800 is about 358.8771599389.

The spelling of 46220800 in words is "forty-six million, two hundred twenty thousand, eight hundred".