46535120 has 40 divisors (see below), whose sum is σ = 114561864. Its totient is φ = 17518592.

The previous prime is 46535087. The next prime is 46535173. The reversal of 46535120 is 2153564.

It can be written as a sum of positive squares in 4 ways, for example, as 22052416 + 24482704 = 4696^2 + 4948^2 .

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 46535120.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 15749 + ... + 18468.

Almost surely, 2^46535120 is an apocalyptic number.

46535120 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

46535120 is an abundant number, since it is smaller than the sum of its proper divisors (68026744).

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

46535120 is a wasteful number, since it uses less digits than its factorization.

46535120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 34247 (or 34241 counting only the distinct ones).

The product of its (nonzero) digits is 3600, while the sum is 26.

The square root of 46535120 is about 6821.6654857886. The cubic root of 46535120 is about 359.6888257571.

Adding to 46535120 its reverse (2153564), we get a palindrome (48688684).

The spelling of 46535120 in words is "forty-six million, five hundred thirty-five thousand, one hundred twenty".