46442400 has 144 divisors (see below), whose sum is σ = 155552544. Its totient is φ = 12026880.

The previous prime is 46442399. The next prime is 46442413. The reversal of 46442400 is 424464.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 88539 + ... + 89061.

It is an arithmetic number, because the mean of its divisors is an integer number (1080226).

Almost surely, 2^46442400 is an apocalyptic number.

46442400 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 46442400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (77776272).

46442400 is an abundant number, since it is smaller than the sum of its proper divisors (109110144).

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

46442400 is a wasteful number, since it uses less digits than its factorization.

46442400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 583 (or 570 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 24.

The square root of 46442400 is about 6814.8661028666. The cubic root of 46442400 is about 359.4497767523.

Adding to 46442400 its reverse (424464), we get a palindrome (46866864).

The spelling of 46442400 in words is "forty-six million, four hundred forty-two thousand, four hundred".