46064900 has 144 divisors (see below), whose sum is σ = 124992000. Its totient is φ = 14676480.

The previous prime is 46064881. The next prime is 46064903. The reversal of 46064900 is 946064.

46064900 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (46064903) by changing a digit.

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 47 ways as a sum of consecutive naturals, for example, 583061 + ... + 583139.

It is an arithmetic number, because the mean of its divisors is an integer number (868000).

Almost surely, 2^46064900 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 46064900, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (62496000).

46064900 is an abundant number, since it is smaller than the sum of its proper divisors (78927100).

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

46064900 is a wasteful number, since it uses less digits than its factorization.

46064900 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 131 (or 110 counting only the distinct ones).

The product of its (nonzero) digits is 5184, while the sum is 29.

The square root of 46064900 is about 6787.1127882186. The cubic root of 46064900 is about 358.4732150229.

It can be divided in two parts, 46064 and 900, that added together give a palindrome (46964).

The spelling of 46064900 in words is "forty-six million, sixty-four thousand, nine hundred".