46829952 has 192 divisors, whose sum is σ = 150368400. Its totient is φ = 13897728.

The previous prime is 46829947. The next prime is 46829957. The reversal of 46829952 is 25992864.

It is an interprime number because it is at equal distance from previous prime (46829947) and next prime (46829957).

It is a tau number, because it is divible by the number of its divisors (192).

It is a junction number, because it is equal to n+sod(n) for n = 46829898 and 46829907.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (46829957) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 793699 + ... + 793757.

Almost surely, 2^46829952 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 46829952, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (75184200).

46829952 is an abundant number, since it is smaller than the sum of its proper divisors (103538448).

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

46829952 is a wasteful number, since it uses less digits than its factorization.

46829952 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 145 (or 130 counting only the distinct ones).

The product of its digits is 311040, while the sum is 45.

The square root of 46829952 is about 6843.2413372612. The cubic root of 46829952 is about 360.4468525191.

It can be divided in two parts, 468 and 29952, that multiplied together give a square (14017536 = 3744²).

The spelling of 46829952 in words is "forty-six million, eight hundred twenty-nine thousand, nine hundred fifty-two".