46487520 has 240 divisors, whose sum is σ = 174536208. Its totient is φ = 11612160.

The previous prime is 46487513. The next prime is 46487521. The reversal of 46487520 is 2578464.

46487520 is a `hidden beast` number, since 4 + 648 + 7 + 5 + 2 + 0 = 666.

46487520 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (240).

It is a super-2 number, since 2×46487520² = 4322179031500800, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (46487521) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 220215 + ... + 220425.

Almost surely, 2^46487520 is an apocalyptic number.

46487520 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 46487520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (87268104).

46487520 is an abundant number, since it is smaller than the sum of its proper divisors (128048688).

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

46487520 is a wasteful number, since it uses less digits than its factorization.

46487520 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 255 (or 238 counting only the distinct ones).

The product of its (nonzero) digits is 53760, while the sum is 36.

The square root of 46487520 is about 6818.1757090882. The cubic root of 46487520 is about 359.5661440128.

The spelling of 46487520 in words is "forty-six million, four hundred eighty-seven thousand, five hundred twenty".