46741968 has 320 divisors, whose sum is σ = 174988800. Its totient is φ = 11612160.

The previous prime is 46741951. The next prime is 46741991. The reversal of 46741968 is 86914764.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1140028 + ... + 1140068.

It is an arithmetic number, because the mean of its divisors is an integer number (546840).

Almost surely, 2^46741968 is an apocalyptic number.

46741968 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 46741968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (87494400).

46741968 is an abundant number, since it is smaller than the sum of its proper divisors (128246832).

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

46741968 is a wasteful number, since it uses less digits than its factorization.

46741968 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 107 (or 95 counting only the distinct ones).

The product of its digits is 290304, while the sum is 45.

The square root of 46741968 is about 6836.8097823473. The cubic root of 46741968 is about 360.2209754441.

The spelling of 46741968 in words is "forty-six million, seven hundred forty-one thousand, nine hundred sixty-eight".