46406752 has 96 divisors (see below), whose sum is σ = 111089664. Its totient is φ = 18662400.

The previous prime is 46406749. The next prime is 46406803. The reversal of 46406752 is 25760464.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 284623 + ... + 284785.

It is an arithmetic number, because the mean of its divisors is an integer number (1157184).

Almost surely, 2^46406752 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 46406752, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (55544832).

46406752 is an abundant number, since it is smaller than the sum of its proper divisors (64682912).

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

46406752 is a wasteful number, since it uses less digits than its factorization.

46406752 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 252 (or 244 counting only the distinct ones).

The product of its (nonzero) digits is 40320, while the sum is 34.

The square root of 46406752 is about 6812.2501422071. The cubic root of 46406752 is about 359.3577850557.

The spelling of 46406752 in words is "forty-six million, four hundred six thousand, seven hundred fifty-two".