46806880 has 96 divisors (see below), whose sum is σ = 118389600. Its totient is φ = 17436672.

The previous prime is 46806857. The next prime is 46806911. The reversal of 46806880 is 8860864.

It is a happy number.

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 15 ways as a sum of consecutive naturals, for example, 270474 + ... + 270646.

It is an arithmetic number, because the mean of its divisors is an integer number (1233225).

Almost surely, 2^46806880 is an apocalyptic number.

46806880 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 46806880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (59194800).

46806880 is an abundant number, since it is smaller than the sum of its proper divisors (71582720).

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

46806880 is a wasteful number, since it uses less digits than its factorization.

46806880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 296 (or 288 counting only the distinct ones).

The product of its (nonzero) digits is 73728, while the sum is 40.

The square root of 46806880 is about 6841.5553787132. Note that the first 3 decimals coincide. The cubic root of 46806880 is about 360.3876482738.

The spelling of 46806880 in words is "forty-six million, eight hundred six thousand, eight hundred eighty".