46506720 has 192 divisors, whose sum is σ = 163840320. Its totient is φ = 11010048.

The previous prime is 46506701. The next prime is 46506739. The reversal of 46506720 is 2760564.

It is an interprime number because it is at equal distance from previous prime (46506701) and next prime (46506739).

It is a Harshad number since it is a multiple of its sum of digits (30).

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 31 ways as a sum of consecutive naturals, for example, 180832 + ... + 181088.

It is an arithmetic number, because the mean of its divisors is an integer number (853335).

Almost surely, 2^46506720 is an apocalyptic number.

46506720 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 46506720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (81920160).

46506720 is an abundant number, since it is smaller than the sum of its proper divisors (117333600).

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

46506720 is a wasteful number, since it uses less digits than its factorization.

46506720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 317 (or 309 counting only the distinct ones).

The product of its (nonzero) digits is 10080, while the sum is 30.

The square root of 46506720 is about 6819.5835649987. The cubic root of 46506720 is about 359.6156391586.

The spelling of 46506720 in words is "forty-six million, five hundred six thousand, seven hundred twenty".