46476864 has 84 divisors (see below), whose sum is σ = 152261824. Its totient is φ = 13277952.

The previous prime is 46476863. The next prime is 46476877. The reversal of 46476864 is 46867464.

It is a tau number, because it is divible by the number of its divisors (84).

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 (46476863) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1732 + ... + 9795.

Almost surely, 2^46476864 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 46476864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (76130912).

46476864 is an abundant number, since it is smaller than the sum of its proper divisors (105784960).

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

46476864 is a wasteful number, since it uses less digits than its factorization.

46476864 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11552 (or 11539 counting only the distinct ones).

The product of its digits is 774144, while the sum is 45.

The square root of 46476864 is about 6817.3942236019. The cubic root of 46476864 is about 359.5386683259.

It can be divided in two parts, 4647 and 6864, that added together give a palindrome (11511).

The spelling of 46476864 in words is "forty-six million, four hundred seventy-six thousand, eight hundred sixty-four".