46950880 has 48 divisors (see below), whose sum is σ = 112510944. Its totient is φ = 18511360.

The previous prime is 46950847. The next prime is 46950901. The reversal of 46950880 is 8805964.

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

It is a congruent number.

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, 9294 + ... + 13426.

It is an arithmetic number, because the mean of its divisors is an integer number (2343978).

Almost surely, 2^46950880 is an apocalyptic number.

46950880 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 46950880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (56255472).

46950880 is an abundant number, since it is smaller than the sum of its proper divisors (65560064).

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

46950880 is a wasteful number, since it uses less digits than its factorization.

46950880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4219 (or 4211 counting only the distinct ones).

The product of its (nonzero) digits is 69120, while the sum is 40.

The square root of 46950880 is about 6852.0712197116. The cubic root of 46950880 is about 360.7568439524.

The spelling of 46950880 in words is "forty-six million, nine hundred fifty thousand, eight hundred eighty".