46629648 has 240 divisors, whose sum is σ = 158739840. Its totient is φ = 13001472.

The previous prime is 46629631. The next prime is 46629677. The reversal of 46629648 is 84692664.

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

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, 2027365 + ... + 2027387.

It is an arithmetic number, because the mean of its divisors is an integer number (661416).

Almost surely, 2^46629648 is an apocalyptic number.

46629648 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 46629648, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (79369920).

46629648 is an abundant number, since it is smaller than the sum of its proper divisors (112110192).

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

46629648 is a wasteful number, since it uses less digits than its factorization.

46629648 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 91 (or 60 counting only the distinct ones).

The product of its digits is 497664, while the sum is 45.

The square root of 46629648 is about 6828.5904841336. The cubic root of 46629648 is about 359.9322094576.

The spelling of 46629648 in words is "forty-six million, six hundred twenty-nine thousand, six hundred forty-eight".