46422400 has 96 divisors (see below), whose sum is σ = 116677800. Its totient is φ = 18247680.

The previous prime is 46422371. The next prime is 46422421. The reversal of 46422400 is 422464.

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, 284719 + ... + 284881.

Almost surely, 2^46422400 is an apocalyptic number.

46422400 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 46422400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (58338900).

46422400 is an abundant number, since it is smaller than the sum of its proper divisors (70255400).

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

46422400 is a wasteful number, since it uses less digits than its factorization.

46422400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 276 (or 259 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 22.

The square root of 46422400 is about 6813.3985645932. The cubic root of 46422400 is about 359.3981714108.

Adding to 46422400 its reverse (422464), we get a palindrome (46844864).

The spelling of 46422400 in words is "forty-six million, four hundred twenty-two thousand, four hundred".