46506978 has 72 divisors (see below), whose sum is σ = 119117232. Its totient is φ = 13072752.

The previous prime is 46506973. The next prime is 46506991. The reversal of 46506978 is 87960564.

46506978 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not an unprimeable number, because it can be changed into a prime (46506973) 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 35 ways as a sum of consecutive naturals, for example, 58701 + ... + 59487.

It is an arithmetic number, because the mean of its divisors is an integer number (1654406).

Almost surely, 2^46506978 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 46506978, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (59558616).

46506978 is an abundant number, since it is smaller than the sum of its proper divisors (72610254).

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

46506978 is a wasteful number, since it uses less digits than its factorization.

46506978 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 876 (or 866 counting only the distinct ones).

The product of its (nonzero) digits is 362880, while the sum is 45.

The square root of 46506978 is about 6819.6024810835. The cubic root of 46506978 is about 359.6163041569.

It can be divided in two parts, 4650 and 6978, that added together give a triangular number (11628 = T₁₅₂).

The spelling of 46506978 in words is "forty-six million, five hundred six thousand, nine hundred seventy-eight".