46811160 has 96 divisors (see below), whose sum is σ = 165980880. Its totient is φ = 11347200.

The previous prime is 46811159. The next prime is 46811161. The reversal of 46811160 is 6111864.

It is an interprime number because it is at equal distance from previous prime (46811159) and next prime (46811161).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (46811161) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1951 + ... + 9870.

Almost surely, 2^46811160 is an apocalyptic number.

46811160 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 46811160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (82990440).

46811160 is an abundant number, since it is smaller than the sum of its proper divisors (119169720).

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

46811160 is a wasteful number, since it uses less digits than its factorization.

46811160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11849 (or 11842 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 27.

The square root of 46811160 is about 6841.8681659325. The cubic root of 46811160 is about 360.3986325004.

It can be divided in two parts, 46811 and 160, that added together give a triangular number (46971 = T₃₀₆).

The spelling of 46811160 in words is "forty-six million, eight hundred eleven thousand, one hundred sixty".