46201120 has 144 divisors (see below), whose sum is σ = 130310208. Its totient is φ = 15429120.

The previous prime is 46201117. The next prime is 46201139. The reversal of 46201120 is 2110264.

It is a Harshad number since it is a multiple of its sum of digits (16).

It is a junction number, because it is equal to n+sod(n) for n = 46201094 and 46201103.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 556599 + ... + 556681.

It is an arithmetic number, because the mean of its divisors is an integer number (904932).

Almost surely, 2^46201120 is an apocalyptic number.

46201120 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 46201120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (65155104).

46201120 is an abundant number, since it is smaller than the sum of its proper divisors (84109088).

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

46201120 is a wasteful number, since it uses less digits than its factorization.

46201120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 183 (or 168 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 16.

The square root of 46201120 is about 6797.1405752713. The cubic root of 46201120 is about 358.8262181902.

Adding to 46201120 its reverse (2110264), we get a palindrome (48311384).

The spelling of 46201120 in words is "forty-six million, two hundred one thousand, one hundred twenty".