46790688 has 144 divisors (see below), whose sum is σ = 148236480. Its totient is φ = 12907776.

The previous prime is 46790677. The next prime is 46790707. The reversal of 46790688 is 88609764.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a nialpdrome in base 14.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1613458 + ... + 1613486.

It is an arithmetic number, because the mean of its divisors is an integer number (1029420).

Almost surely, 2^46790688 is an apocalyptic number.

46790688 is a gapful number since it is divisible by the number (48) 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 46790688, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (74118240).

46790688 is an abundant number, since it is smaller than the sum of its proper divisors (101445792).

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

46790688 is an frugal number, since it uses more digits than its factorization.

46790688 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 77 (or 41 counting only the distinct ones).

The product of its (nonzero) digits is 580608, while the sum is 48.

The square root of 46790688 is about 6840.3719197131. The cubic root of 46790688 is about 360.3460869349.

The spelling of 46790688 in words is "forty-six million, seven hundred ninety thousand, six hundred eighty-eight".