46386720 has 72 divisors (see below), whose sum is σ = 158299596. Its totient is φ = 12369408.

The previous prime is 46386719. The next prime is 46386721. The reversal of 46386720 is 2768364.

It is an interprime number because it is at equal distance from previous prime (46386719) and next prime (46386721).

It can be written as a sum of positive squares in 2 ways, for example, as 44675856 + 1710864 = 6684^2 + 1308^2 .

It is a tau number, because it is divible by the number of its divisors (72).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (46386721) 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 11 ways as a sum of consecutive naturals, for example, 14667 + ... + 17546.

Almost surely, 2^46386720 is an apocalyptic number.

46386720 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

46386720 is an abundant number, since it is smaller than the sum of its proper divisors (111912876).

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

46386720 is a wasteful number, since it uses less digits than its factorization.

46386720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 32234 (or 32223 counting only the distinct ones).

The product of its (nonzero) digits is 48384, while the sum is 36.

The square root of 46386720 is about 6810.7796910486. The cubic root of 46386720 is about 359.3060706615.

The spelling of 46386720 in words is "forty-six million, three hundred eighty-six thousand, seven hundred twenty".