46726560 has 144 divisors (see below), whose sum is σ = 163950696. Its totient is φ = 12109824.

The previous prime is 46726541. The next prime is 46726571. The reversal of 46726560 is 6562764.

46726560 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 4 ways, for example, as 46621584 + 104976 = 6828^2 + 324^2 .

It is a tau number, because it is divible by the number of its divisors (144).

It is a Harshad number since it is a multiple of its sum of digits (36).

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, 52842 + ... + 53718.

Almost surely, 2^46726560 is an apocalyptic number.

46726560 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 46726560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (81975348).

46726560 is an abundant number, since it is smaller than the sum of its proper divisors (117224136).

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

46726560 is a wasteful number, since it uses less digits than its factorization.

46726560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 935 (or 924 counting only the distinct ones).

The product of its (nonzero) digits is 60480, while the sum is 36.

The square root of 46726560 is about 6835.6828481140. The cubic root of 46726560 is about 360.1813900707.

The spelling of 46726560 in words is "forty-six million, seven hundred twenty-six thousand, five hundred sixty".