46117120 has 72 divisors (see below), whose sum is σ = 126270144. Its totient is φ = 15808512.

The previous prime is 46117111. The next prime is 46117121. The reversal of 46117120 is 2171164.

It is a junction number, because it is equal to n+sod(n) for n = 46117091 and 46117100.

It is not an unprimeable number, because it can be changed into a prime (46117121) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 6387 + ... + 11533.

It is an arithmetic number, because the mean of its divisors is an integer number (1753752).

Almost surely, 2^46117120 is an apocalyptic number.

46117120 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 46117120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (63135072).

46117120 is an abundant number, since it is smaller than the sum of its proper divisors (80153024).

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

46117120 is an equidigital number, since it uses as much as digits as its factorization.

46117120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5175 (or 5161 counting only the distinct ones).

The product of its (nonzero) digits is 336, while the sum is 22.

The square root of 46117120 is about 6790.9586952064. The cubic root of 46117120 is about 358.6086210997.

Adding to 46117120 its reverse (2171164), we get a palindrome (48288284).

The spelling of 46117120 in words is "forty-six million, one hundred seventeen thousand, one hundred twenty".