46481760 has 216 divisors, whose sum is σ = 172658304. Its totient is φ = 11381760.

The previous prime is 46481717. The next prime is 46481761. The reversal of 46481760 is 6718464.

46481760 is a `hidden beast` number, since 4 + 648 + 1 + 7 + 6 + 0 = 666.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (46481761) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 243265 + ... + 243455.

It is an arithmetic number, because the mean of its divisors is an integer number (799344).

Almost surely, 2^46481760 is an apocalyptic number.

46481760 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 46481760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (86329152).

46481760 is an abundant number, since it is smaller than the sum of its proper divisors (126176544).

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

46481760 is a wasteful number, since it uses less digits than its factorization.

46481760 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 238 (or 214 counting only the distinct ones).

The product of its (nonzero) digits is 32256, while the sum is 36.

The square root of 46481760 is about 6817.7532956246. The cubic root of 46481760 is about 359.5512928116.

The spelling of 46481760 in words is "forty-six million, four hundred eighty-one thousand, seven hundred sixty".