46080000 has 210 divisors, whose sum is σ = 166336599. Its totient is φ = 12288000.

The previous prime is 46079993. The next prime is 46080007. The reversal of 46080000 is 8064.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

It is an interprime number because it is at equal distance from previous prime (46079993) and next prime (46080007).

It can be written as a sum of positive squares in 3 ways, for example, as 10653696 + 35426304 = 3264^2 + 5952^2 .

It is an ABA number since it can be written as A⋅B^A, here for A=2, B=4800.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is not an unprimeable number, because it can be changed into a prime (46080007) by changing a digit.

It is a polite number, since it can be written in 14 ways as a sum of consecutive naturals, for example, 9215998 + ... + 9216002.

Almost surely, 2^46080000 is an apocalyptic number.

46080000 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

46080000 is a droll number since its even prime factors and its odd prime factors have the same sum.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 46080000

46080000 is an abundant number, since it is smaller than the sum of its proper divisors (120256599).

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

46080000 is an frugal number, since it uses more digits than its factorization.

46080000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 52 (or 10 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 18.

The square root of 46080000 is about 6788.2250993909. The cubic root of 46080000 is about 358.5123797246.

Multiplying 46080000 by its sum of digits (18), we get a square (829440000 = 28800²).

46080000 divided by its sum of digits (18) gives a 4-th power (2560000 = 40⁴).

Adding to 46080000 its reverse (8064), we get a palindrome (46088064).

The spelling of 46080000 in words is "forty-six million, eighty thousand".