46430120 has 96 divisors (see below), whose sum is σ = 117641160. Its totient is φ = 16473600.

The previous prime is 46430101. The next prime is 46430141. The reversal of 46430120 is 2103464.

It is a happy number.

46430120 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 27646564 + 18783556 = 5258^2 + 4334^2 .

It is a super-3 number, since 3×46430120³ (a number of 24 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a junction number, because it is equal to n+sod(n) for n = 46430092 and 46430101.

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, 256430 + ... + 256610.

Almost surely, 2^46430120 is an apocalyptic number.

46430120 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 46430120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (58820580).

46430120 is an abundant number, since it is smaller than the sum of its proper divisors (71211040).

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

46430120 is a wasteful number, since it uses less digits than its factorization.

46430120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 267 (or 252 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 20.

The square root of 46430120 is about 6813.9650718213. The cubic root of 46430120 is about 359.4180928287.

Adding to 46430120 its reverse (2103464), we get a palindrome (48533584).

The spelling of 46430120 in words is "forty-six million, four hundred thirty thousand, one hundred twenty".