46561008400 has 45 divisors (see below), whose sum is σ = 111873191871. Its totient is φ = 18622677120.

The previous prime is 46561008343. The next prime is 46561008451. The reversal of 46561008400 is 480016564.

The square root of 46561008400 is 215780.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in 4 ways, for example, as 1644140304 + 44916868096 = 40548^2 + 211936^2 .

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 4310206 + ... + 4320994.

Almost surely, 2^46561008400 is an apocalyptic number.

46561008400 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

46561008400 is the 215780-th square number.

It is an amenable number.

46561008400 is an abundant number, since it is smaller than the sum of its proper divisors (65312183471).

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

46561008400 is an frugal number, since it uses more digits than its factorization.

46561008400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 21596 (or 10796 counting only the distinct ones).

The product of its (nonzero) digits is 23040, while the sum is 34.

The spelling of 46561008400 in words is "forty-six billion, five hundred sixty-one million, eight thousand, four hundred".