46361160 has 160 divisors (see below), whose sum is σ = 160083000. Its totient is φ = 12026880.

The previous prime is 46361149. The next prime is 46361171. The reversal of 46361160 is 6116364.

46361160 = T₃₃₁ + T₃₃₂ + ... + T₆₇₉.

46361160 is a `hidden beast` number, since 46 + 3 + 611 + 6 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (46361149) and next prime (46361171).

It can be written as a sum of positive squares in 4 ways, for example, as 30536676 + 15824484 = 5526^2 + 3978^2 .

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 132666 + ... + 133014.

Almost surely, 2^46361160 is an apocalyptic number.

46361160 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 46361160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (80041500).

46361160 is an abundant number, since it is smaller than the sum of its proper divisors (113721840).

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

46361160 is a wasteful number, since it uses less digits than its factorization.

46361160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 413 (or 400 counting only the distinct ones).

The product of its (nonzero) digits is 2592, while the sum is 27.

The square root of 46361160 is about 6808.9029953437. The cubic root of 46361160 is about 359.2400636196.

The spelling of 46361160 in words is "forty-six million, three hundred sixty-one thousand, one hundred sixty".