46355364 has 144 divisors (see below), whose sum is σ = 138116160. Its totient is φ = 12960000.

The previous prime is 46355341. The next prime is 46355371.

46355364 is a `hidden beast` number, since 46 + 3 + 553 + 64 = 666.

46355364 is nontrivially palindromic in base 10.

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

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 458914 + ... + 459014.

It is an arithmetic number, because the mean of its divisors is an integer number (959140).

Almost surely, 2^46355364 is an apocalyptic number.

46355364 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 46355364, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (69058080).

46355364 is an abundant number, since it is smaller than the sum of its proper divisors (91760796).

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

46355364 is a wasteful number, since it uses less digits than its factorization.

46355364 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 202 (or 197 counting only the distinct ones).

The product of its digits is 129600, while the sum is 36.

The square root of 46355364 is about 6808.4773628176. The cubic root of 46355364 is about 359.2250924513.

It can be divided in two parts, 4635 and 5364, that added together give a palindrome (9999).

The spelling of 46355364 in words is "forty-six million, three hundred fifty-five thousand, three hundred sixty-four".