46540800 has 216 divisors, whose sum is σ = 168329070. Its totient is φ = 12288000.

The previous prime is 46540789. The next prime is 46540811. The reversal of 46540800 is 804564.

46540800 is a `hidden beast` number, since 4 + 654 + 0 + 8 + 0 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (46540789) and next prime (46540811).

It can be written as a sum of positive squares in 3 ways, for example, as 43877376 + 2663424 = 6624^2 + 1632^2 .

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 460750 + ... + 460850.

Almost surely, 2^46540800 is an apocalyptic number.

46540800 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 46540800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (84164535).

46540800 is an abundant number, since it is smaller than the sum of its proper divisors (121788270).

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

46540800 is a wasteful number, since it uses less digits than its factorization.

46540800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 139 (or 111 counting only the distinct ones).

The product of its (nonzero) digits is 3840, while the sum is 27.

The square root of 46540800 is about 6822.0817937049. The cubic root of 46540800 is about 359.7034595034.

The spelling of 46540800 in words is "forty-six million, five hundred forty thousand, eight hundred".