46560192 has 140 divisors (see below), whose sum is σ = 145136616. Its totient is φ = 13171200.

The previous prime is 46560191. The next prime is 46560209. The reversal of 46560192 is 29106564.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (46560191) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 460942 + ... + 461042.

Almost surely, 2^46560192 is an apocalyptic number.

46560192 is a gapful number since it is divisible by the number (42) 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 46560192, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (72568308).

46560192 is an abundant number, since it is smaller than the sum of its proper divisors (98576424).

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

46560192 is an equidigital number, since it uses as much as digits as its factorization.

46560192 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 144 (or 113 counting only the distinct ones).

The product of its (nonzero) digits is 12960, while the sum is 33.

The square root of 46560192 is about 6823.5029127275. The cubic root of 46560192 is about 359.7534113801.

The spelling of 46560192 in words is "forty-six million, five hundred sixty thousand, one hundred ninety-two".