46001564 has 48 divisors (see below), whose sum is σ = 97660416. Its totient is φ = 18532800.

The previous prime is 46001537. The next prime is 46001573. The reversal of 46001564 is 46510064.

It is a happy number.

It is a super-2 number, since 2×46001564² = 4232287780892192, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 38699 + ... + 39869.

It is an arithmetic number, because the mean of its divisors is an integer number (2034592).

Almost surely, 2^46001564 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 46001564, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (48830208).

46001564 is an abundant number, since it is smaller than the sum of its proper divisors (51658852).

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

46001564 is a wasteful number, since it uses less digits than its factorization.

46001564 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1266 (or 1264 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 26.

The square root of 46001564 is about 6782.4452817550. The cubic root of 46001564 is about 358.3088478432.

The spelling of 46001564 in words is "forty-six million, one thousand, five hundred sixty-four".