46822400 has 132 divisors (see below), whose sum is σ = 121837440. Its totient is φ = 17817600.

The previous prime is 46822397. The next prime is 46822417. The reversal of 46822400 is 422864.

It is a self number, because there is not a number n which added to its sum of digits gives 46822400.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 793571 + ... + 793629.

Almost surely, 2^46822400 is an apocalyptic number.

46822400 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 46822400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (60918720).

46822400 is an abundant number, since it is smaller than the sum of its proper divisors (75015040).

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

46822400 is a wasteful number, since it uses less digits than its factorization.

46822400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 120 (or 97 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 26.

The square root of 46822400 is about 6842.6895297098. The cubic root of 46822400 is about 360.4274757395.

The spelling of 46822400 in words is "forty-six million, eight hundred twenty-two thousand, four hundred".