46812864 has 112 divisors (see below), whose sum is σ = 144125696. Its totient is φ = 13132800.

The previous prime is 46812863. The next prime is 46812907. The reversal of 46812864 is 46821864.

It is a tau number, because it is divible by the number of its divisors (112).

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

It is not an unprimeable number, because it can be changed into a prime (46812863) 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 15 ways as a sum of consecutive naturals, for example, 81699 + ... + 82269.

Almost surely, 2^46812864 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 46812864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (72062848).

46812864 is an abundant number, since it is smaller than the sum of its proper divisors (97312832).

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

46812864 is a wasteful number, since it uses less digits than its factorization.

46812864 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 654 (or 644 counting only the distinct ones).

The product of its digits is 73728, while the sum is 39.

The square root of 46812864 is about 6841.9926921914. The cubic root of 46812864 is about 360.4030054734.

The spelling of 46812864 in words is "forty-six million, eight hundred twelve thousand, eight hundred sixty-four".