46829664 has 240 divisors, whose sum is σ = 164656800. Its totient is φ = 12773376.

The previous prime is 46829663. The next prime is 46829669. The reversal of 46829664 is 46692864.

46829664 = T₃₂ + T₃₃ + ... + T₆₅₄.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (46829663) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 526132 + ... + 526220.

It is an arithmetic number, because the mean of its divisors is an integer number (686070).

Almost surely, 2^46829664 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 46829664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (82328400).

46829664 is an abundant number, since it is smaller than the sum of its proper divisors (117827136).

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

46829664 is a wasteful number, since it uses less digits than its factorization.

46829664 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 147 (or 130 counting only the distinct ones).

The product of its digits is 497664, while the sum is 45.

The square root of 46829664 is about 6843.2202945689. The cubic root of 46829664 is about 360.4461136123.

The spelling of 46829664 in words is "forty-six million, eight hundred twenty-nine thousand, six hundred sixty-four".