46448688 has 160 divisors (see below), whose sum is σ = 144490752. Its totient is φ = 12672000.

The previous prime is 46448687. The next prime is 46448719. The reversal of 46448688 is 88684464.

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

It is a nude number because it is divisible by every one of its digits.

It is not an unprimeable number, because it can be changed into a prime (46448681) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 459838 + ... + 459938.

Almost surely, 2^46448688 is an apocalyptic number.

46448688 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 46448688, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (72245376).

46448688 is an abundant number, since it is smaller than the sum of its proper divisors (98042064).

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

46448688 is a wasteful number, since it uses less digits than its factorization.

46448688 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 203 (or 197 counting only the distinct ones).

The product of its digits is 1179648, while the sum is 48.

The square root of 46448688 is about 6815.3274316059. The cubic root of 46448688 is about 359.4659984104.

The spelling of 46448688 in words is "forty-six million, four hundred forty-eight thousand, six hundred eighty-eight".