46887040 has 64 divisors (see below), whose sum is σ = 114021720. Its totient is φ = 18432000.

The previous prime is 46887031. The next prime is 46887073. The reversal of 46887040 is 4078864.

It can be written as a sum of positive squares in 4 ways, for example, as 8248384 + 38638656 = 2872^2 + 6216^2 .

It is a tau number, because it is divible by the number of its divisors (64).

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, 38440 + ... + 39640.

Almost surely, 2^46887040 is an apocalyptic number.

46887040 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 46887040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (57010860).

46887040 is an abundant number, since it is smaller than the sum of its proper divisors (67134680).

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

46887040 is a wasteful number, since it uses less digits than its factorization.

46887040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1281 (or 1269 counting only the distinct ones).

The product of its (nonzero) digits is 43008, while the sum is 37.

The square root of 46887040 is about 6847.4111896395. The cubic root of 46887040 is about 360.5932604850.

The spelling of 46887040 in words is "forty-six million, eight hundred eighty-seven thousand, forty".