46407120 has 80 divisors (see below), whose sum is σ = 151448640. Its totient is φ = 11722752.

The previous prime is 46407113. The next prime is 46407149. The reversal of 46407120 is 2170464.

It is a tau number, because it is divible by the number of its divisors (80).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

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 15 ways as a sum of consecutive naturals, for example, 529 + ... + 9648.

It is an arithmetic number, because the mean of its divisors is an integer number (1893108).

Almost surely, 2^46407120 is an apocalyptic number.

46407120 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 46407120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (75724320).

46407120 is an abundant number, since it is smaller than the sum of its proper divisors (105041520).

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

46407120 is a wasteful number, since it uses less digits than its factorization.

46407120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10212 (or 10206 counting only the distinct ones).

The product of its (nonzero) digits is 1344, while the sum is 24.

The square root of 46407120 is about 6812.2771523185. The cubic root of 46407120 is about 359.3587349412.

Adding to 46407120 its reverse (2170464), we get a palindrome (48577584).

The spelling of 46407120 in words is "forty-six million, four hundred seven thousand, one hundred twenty".