46414420 has 48 divisors (see below), whose sum is σ = 111153168. Its totient is φ = 16128000.

The previous prime is 46414393. The next prime is 46414429. The reversal of 46414420 is 2441464.

It can be written as a sum of positive squares in 8 ways, for example, as 2298256 + 44116164 = 1516^2 + 6642^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (46414429) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 831 + ... + 9670.

It is an arithmetic number, because the mean of its divisors is an integer number (2315691).

Almost surely, 2^46414420 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 46414420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (55576584).

46414420 is an abundant number, since it is smaller than the sum of its proper divisors (64738748).

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

46414420 is a wasteful number, since it uses less digits than its factorization.

46414420 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10540 (or 10538 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 25.

The square root of 46414420 is about 6812.8129285927. The cubic root of 46414420 is about 359.3775767427.

Adding to 46414420 its reverse (2441464), we get a palindrome (48855884).

It can be divided in two parts, 464 and 14420, that added together give a square (14884 = 122²).

The spelling of 46414420 in words is "forty-six million, four hundred fourteen thousand, four hundred twenty".