46650900 has 72 divisors (see below), whose sum is σ = 140865984. Its totient is φ = 11897600.

The previous prime is 46650899. The next prime is 46650953. The reversal of 46650900 is 905664.

46650900 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 3520 + ... + 10280.

It is an arithmetic number, because the mean of its divisors is an integer number (1956472).

Almost surely, 2^46650900 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 46650900, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (70432992).

46650900 is an abundant number, since it is smaller than the sum of its proper divisors (94215084).

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

46650900 is a wasteful number, since it uses less digits than its factorization.

46650900 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6801 (or 6794 counting only the distinct ones).

The product of its (nonzero) digits is 6480, while the sum is 30.

The square root of 46650900 is about 6830.1464113151. The cubic root of 46650900 is about 359.9868822381.

The spelling of 46650900 in words is "forty-six million, six hundred fifty thousand, nine hundred".