46400000 has 120 divisors (see below), whose sum is σ = 119875140. Its totient is φ = 17920000.

The previous prime is 46399981. The next prime is 46400009. The reversal of 46400000 is 464.

It is a happy number.

It can be written as a sum of positive squares in 6 ways, for example, as 5234944 + 41165056 = 2288^2 + 6416^2 .

It is not an unprimeable number, because it can be changed into a prime (46400009) by changing a digit.

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 11 ways as a sum of consecutive naturals, for example, 1599986 + ... + 1600014.

Almost surely, 2^46400000 is an apocalyptic number.

46400000 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 46400000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (59937570).

46400000 is an abundant number, since it is smaller than the sum of its proper divisors (73475140).

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

46400000 is an frugal number, since it uses more digits than its factorization.

46400000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 72 (or 36 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 14.

The square root of 46400000 is about 6811.7545463706. The cubic root of 46400000 is about 359.3403558286.

Adding to 46400000 its reverse (464), we get a palindrome (46400464).

46400000 divided by its reverse (464) gives a 5-th power (100000 = 10⁵).

The spelling of 46400000 in words is "forty-six million, four hundred thousand".