46105760 has 48 divisors (see below), whose sum is σ = 111000456. Its totient is φ = 18091008.

The previous prime is 46105747. The next prime is 46105769. The reversal of 46105760 is 6750164.

It can be written as a sum of positive squares in 4 ways, for example, as 41628304 + 4477456 = 6452^2 + 2116^2 .

It is a super-2 number, since 2×46105760² = 4251482210355200, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (46105769) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 5762 + ... + 11198.

Almost surely, 2^46105760 is an apocalyptic number.

46105760 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 46105760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (55500228).

46105760 is an abundant number, since it is smaller than the sum of its proper divisors (64894696).

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

46105760 is a wasteful number, since it uses less digits than its factorization.

46105760 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5505 (or 5497 counting only the distinct ones).

The product of its (nonzero) digits is 5040, while the sum is 29.

The square root of 46105760 is about 6790.1222374859. The cubic root of 46105760 is about 358.5791734059.

The spelling of 46105760 in words is "forty-six million, one hundred five thousand, seven hundred sixty".