46720000 has 110 divisors (see below), whose sum is σ = 118304318. Its totient is φ = 18432000.

The previous prime is 46719997. The next prime is 46720001. The reversal of 46720000 is 2764.

It can be written as a sum of positive squares in 5 ways, for example, as 16777216 + 29942784 = 4096^2 + 5472^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 46720000.

It is not an unprimeable number, because it can be changed into a prime (46720001) by changing a digit.

It is a polite number, since it can be written in 9 ways as a sum of consecutive naturals, for example, 639964 + ... + 640036.

Almost surely, 2^46720000 is an apocalyptic number.

46720000 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 46720000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (59152159).

46720000 is an abundant number, since it is smaller than the sum of its proper divisors (71584318).

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

46720000 is an frugal number, since it uses more digits than its factorization.

46720000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 113 (or 80 counting only the distinct ones).

The product of its (nonzero) digits is 336, while the sum is 19.

The square root of 46720000 is about 6835.2029962540. The cubic root of 46720000 is about 360.1645338437.

Adding to 46720000 its reverse (2764), we get a palindrome (46722764).

The spelling of 46720000 in words is "forty-six million, seven hundred twenty thousand".