46268160 has 72 divisors (see below), whose sum is σ = 147781200. Its totient is φ = 12337152.

The previous prime is 46268153. The next prime is 46268161. The reversal of 46268160 is 6186264.

It is a happy number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (46268161) 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, 2185 + ... + 9864.

Almost surely, 2^46268160 is an apocalyptic number.

46268160 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 46268160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (73890600).

46268160 is an abundant number, since it is smaller than the sum of its proper divisors (101513040).

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

46268160 is a wasteful number, since it uses less digits than its factorization.

46268160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12073 (or 12059 counting only the distinct ones).

The product of its (nonzero) digits is 13824, while the sum is 33.

The square root of 46268160 is about 6802.0702730860. The cubic root of 46268160 is about 358.9996922223. Note that the first 3 decimals are identical.

The spelling of 46268160 in words is "forty-six million, two hundred sixty-eight thousand, one hundred sixty".