46829016 has 192 divisors, whose sum is σ = 151351200. Its totient is φ = 13436928.

The previous prime is 46828979. The next prime is 46829017. The reversal of 46829016 is 61092864.

46829016 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (46829017) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 429570 + ... + 429678.

Almost surely, 2^46829016 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 46829016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (75675600).

46829016 is an abundant number, since it is smaller than the sum of its proper divisors (104522184).

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

46829016 is a wasteful number, since it uses less digits than its factorization.

46829016 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 160 (or 144 counting only the distinct ones).

The product of its (nonzero) digits is 20736, while the sum is 36.

The square root of 46829016 is about 6843.1729482748. The cubic root of 46829016 is about 360.4444510610. Note that the first 4 decimals are identical.

The spelling of 46829016 in words is "forty-six million, eight hundred twenty-nine thousand, sixteen".