46887520 has 48 divisors (see below), whose sum is σ = 111667248. Its totient is φ = 18603520.

The previous prime is 46887517. The next prime is 46887523. The reversal of 46887520 is 2578864.

It is an interprime number because it is at equal distance from previous prime (46887517) and next prime (46887523).

It is a Harshad number since it is a multiple of its sum of digits (40).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (46887523) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 19842 + ... + 22078.

It is an arithmetic number, because the mean of its divisors is an integer number (2326401).

Almost surely, 2^46887520 is an apocalyptic number.

46887520 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 46887520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (55833624).

46887520 is an abundant number, since it is smaller than the sum of its proper divisors (64779728).

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

46887520 is a wasteful number, since it uses less digits than its factorization.

46887520 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2383 (or 2375 counting only the distinct ones).

The product of its (nonzero) digits is 107520, while the sum is 40.

The square root of 46887520 is about 6847.4462392924. The cubic root of 46887520 is about 360.5944909897.

The spelling of 46887520 in words is "forty-six million, eight hundred eighty-seven thousand, five hundred twenty".