46122720 has 288 divisors, whose sum is σ = 176849568. Its totient is φ = 10063872.

The previous prime is 46122707. The next prime is 46122721. The reversal of 46122720 is 2722164.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (46122721) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 870214 + ... + 870266.

It is an arithmetic number, because the mean of its divisors is an integer number (614061).

Almost surely, 2^46122720 is an apocalyptic number.

46122720 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 46122720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (88424784).

46122720 is an abundant number, since it is smaller than the sum of its proper divisors (130726848).

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

46122720 is a wasteful number, since it uses less digits than its factorization.

46122720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 122 (or 107 counting only the distinct ones).

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

The square root of 46122720 is about 6791.3709956091. The cubic root of 46122720 is about 358.6231357889.

46122720 divided by its sum of digits (24) gives a triangular number (1921780 = T₁₉₆₀).

Adding to 46122720 its reverse (2722164), we get a palindrome (48844884).

The spelling of 46122720 in words is "forty-six million, one hundred twenty-two thousand, seven hundred twenty".