46484928 has 252 divisors, whose sum is σ = 163369752. Its totient is φ = 13063680.

The previous prime is 46484917. The next prime is 46484929. The reversal of 46484928 is 82948464.

It is a tau number, because it is divible by the number of its divisors (252).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (46484929) by changing a digit.

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 35 ways as a sum of consecutive naturals, for example, 762018 + ... + 762078.

Almost surely, 2^46484928 is an apocalyptic number.

46484928 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 46484928, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (81684876).

46484928 is an abundant number, since it is smaller than the sum of its proper divisors (116884824).

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

46484928 is an equidigital number, since it uses as much as digits as its factorization.

46484928 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 102 (or 73 counting only the distinct ones).

The product of its digits is 442368, while the sum is 45.

The square root of 46484928 is about 6817.9856262682. The cubic root of 46484928 is about 359.5594611241.

The spelling of 46484928 in words is "forty-six million, four hundred eighty-four thousand, nine hundred twenty-eight".