46752560 has 40 divisors (see below), whose sum is σ = 113430240. Its totient is φ = 17887232.

The previous prime is 46752551. The next prime is 46752569. The reversal of 46752560 is 6525764.

It is an interprime number because it is at equal distance from previous prime (46752551) and next prime (46752569).

It is a tau number, because it is divible by the number of its divisors (40).

It is a self number, because there is not a number n which added to its sum of digits gives 46752560.

It is not an unprimeable number, because it can be changed into a prime (46752569) by changing a digit.

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 7 ways as a sum of consecutive naturals, for example, 10865 + ... + 14544.

It is an arithmetic number, because the mean of its divisors is an integer number (2835756).

Almost surely, 2^46752560 is an apocalyptic number.

46752560 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

46752560 is an abundant number, since it is smaller than the sum of its proper divisors (66677680).

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

46752560 is a wasteful number, since it uses less digits than its factorization.

46752560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 25445 (or 25439 counting only the distinct ones).

The product of its (nonzero) digits is 50400, while the sum is 35.

The square root of 46752560 is about 6837.5843687665. The cubic root of 46752560 is about 360.2481827738.

The spelling of 46752560 in words is "forty-six million, seven hundred fifty-two thousand, five hundred sixty".