46587240 has 288 divisors, whose sum is σ = 186732000. Its totient is φ = 10015488.

The previous prime is 46587227. The next prime is 46587241. The reversal of 46587240 is 4278564.

It is a super-3 number, since 3×46587240³ (a number of 24 digits) contains 333 as substring.

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

It is a junction number, because it is equal to n+sod(n) for n = 46587195 and 46587204.

It is not an unprimeable number, because it can be changed into a prime (46587241) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 335091 + ... + 335229.

It is an arithmetic number, because the mean of its divisors is an integer number (648375).

Almost surely, 2^46587240 is an apocalyptic number.

46587240 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 46587240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (93366000).

46587240 is an abundant number, since it is smaller than the sum of its proper divisors (140144760).

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

46587240 is a wasteful number, since it uses less digits than its factorization.

46587240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 189 (or 175 counting only the distinct ones).

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

The square root of 46587240 is about 6825.4845981806. The cubic root of 46587240 is about 359.8230611976.

The spelling of 46587240 in words is "forty-six million, five hundred eighty-seven thousand, two hundred forty".