46288264 has 32 divisors (see below), whose sum is σ = 96243840. Its totient is φ = 20692800.

The previous prime is 46288241. The next prime is 46288283.

46288264 is nontrivially palindromic in base 10.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1057 + ... + 9679.

It is an arithmetic number, because the mean of its divisors is an integer number (3007620).

Almost surely, 2^46288264 is an apocalyptic number.

46288264 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 46288264, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (48121920).

46288264 is an abundant number, since it is smaller than the sum of its proper divisors (49955576).

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

46288264 is a wasteful number, since it uses less digits than its factorization.

46288264 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8701 (or 8697 counting only the distinct ones).

The product of its digits is 147456, while the sum is 40.

The square root of 46288264 is about 6803.5478979721. The cubic root of 46288264 is about 359.0516810682.

The spelling of 46288264 in words is "forty-six million, two hundred eighty-eight thousand, two hundred sixty-four".