46262664 has 240 divisors, whose sum is σ = 158906880. Its totient is φ = 12519360.

The previous prime is 46262659. The next prime is 46262687. The reversal of 46262664 is 46626264.

46262664 is a `hidden beast` number, since 4 + 626 + 26 + 6 + 4 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

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

It is a congruent number.

It is an unprimeable number.

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 59 ways as a sum of consecutive naturals, for example, 984289 + ... + 984335.

It is an arithmetic number, because the mean of its divisors is an integer number (662112).

Almost surely, 2^46262664 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 46262664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (79453440).

46262664 is an abundant number, since it is smaller than the sum of its proper divisors (112644216).

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

46262664 is a wasteful number, since it uses less digits than its factorization.

46262664 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 110 (or 90 counting only the distinct ones).

The product of its digits is 82944, while the sum is 36.

The square root of 46262664 is about 6801.6662664380. Note that the first 3 decimals coincide. The cubic root of 46262664 is about 358.9854769719.

The spelling of 46262664 in words is "forty-six million, two hundred sixty-two thousand, six hundred sixty-four".