46629792 has 144 divisors (see below), whose sum is σ = 148599360. Its totient is φ = 13747200.

The previous prime is 46629773. The next prime is 46629799. The reversal of 46629792 is 29792664.

It is a tau number, because it is divible by the number of its divisors (144).

It is not an unprimeable number, because it can be changed into a prime (46629799) 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 23 ways as a sum of consecutive naturals, for example, 129709 + ... + 130067.

It is an arithmetic number, because the mean of its divisors is an integer number (1031940).

Almost surely, 2^46629792 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 46629792, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (74299680).

46629792 is an abundant number, since it is smaller than the sum of its proper divisors (101969568).

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

46629792 is a wasteful number, since it uses less digits than its factorization.

46629792 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 427 (or 416 counting only the distinct ones).

The product of its digits is 326592, while the sum is 45.

The square root of 46629792 is about 6828.6010280291. The cubic root of 46629792 is about 359.9325799671.

The spelling of 46629792 in words is "forty-six million, six hundred twenty-nine thousand, seven hundred ninety-two".