46811864 has 64 divisors (see below), whose sum is σ = 99792000. Its totient is φ = 20401920.

The previous prime is 46811851. The next prime is 46811899.

46811864 is nontrivially palindromic in base 10.

It is a super-2 number, since 2×46811864² = 4382701222308992, which contains 22 as substring.

Its product of digits (36864) is a multiple of the sum of its prime factors (288).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 336707 + ... + 336845.

It is an arithmetic number, because the mean of its divisors is an integer number (1559250).

Almost surely, 2^46811864 is an apocalyptic number.

46811864 is a gapful number since it is divisible by the number (44) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 46811864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (49896000).

46811864 is an abundant number, since it is smaller than the sum of its proper divisors (52980136).

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

46811864 is a wasteful number, since it uses less digits than its factorization.

46811864 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 288 (or 284 counting only the distinct ones).

The product of its digits is 36864, while the sum is 38.

The square root of 46811864 is about 6841.9196136757. The cubic root of 46811864 is about 360.4004391876.

The spelling of 46811864 in words is "forty-six million, eight hundred eleven thousand, eight hundred sixty-four".