46887120 has 240 divisors, whose sum is σ = 188291520. Its totient is φ = 10692864.

The previous prime is 46887119. The next prime is 46887131. The reversal of 46887120 is 2178864.

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

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 105619 + ... + 106061.

It is an arithmetic number, because the mean of its divisors is an integer number (784548).

Almost surely, 2^46887120 is an apocalyptic number.

46887120 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 46887120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (94145760).

46887120 is an abundant number, since it is smaller than the sum of its proper divisors (141404400).

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

46887120 is a wasteful number, since it uses less digits than its factorization.

46887120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 479 (or 460 counting only the distinct ones).

The product of its (nonzero) digits is 21504, while the sum is 36.

The square root of 46887120 is about 6847.4170312608. The cubic root of 46887120 is about 360.5934655697.

The spelling of 46887120 in words is "forty-six million, eight hundred eighty-seven thousand, one hundred twenty".