46721600 has 42 divisors (see below), whose sum is σ = 114968274. Its totient is φ = 18688000.

The previous prime is 46721573. The next prime is 46721603. The reversal of 46721600 is 612764.

It can be written as a sum of positive squares in 3 ways, for example, as 1132096 + 45589504 = 1064^2 + 6752^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 46721600.

It is not an unprimeable number, because it can be changed into a prime (46721603) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 13001 + ... + 16200.

Almost surely, 2^46721600 is an apocalyptic number.

46721600 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

46721600 is an abundant number, since it is smaller than the sum of its proper divisors (68246674).

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

46721600 is a wasteful number, since it uses less digits than its factorization.

46721600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 29223 (or 29208 counting only the distinct ones).

The product of its (nonzero) digits is 2016, while the sum is 26.

The square root of 46721600 is about 6835.3200363992. The cubic root of 46721600 is about 360.1686452641.

The spelling of 46721600 in words is "forty-six million, seven hundred twenty-one thousand, six hundred".