46009089 has 81 divisors (see below), whose sum is σ = 86672547. Its totient is φ = 23442048.

The previous prime is 46009087. The next prime is 46009111. The reversal of 46009089 is 98090064.

The square root of 46009089 is 6783.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in only one way, i.e., 35820225 + 10188864 = 5985^2 + 3192^2 .

It is not a de Polignac number, because 46009089 - 2¹ = 46009087 is a prime.

It is not an unprimeable number, because it can be changed into a prime (46009087) by changing a digit.

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 80 ways as a sum of consecutive naturals, for example, 2421522 + ... + 2421540.

Almost surely, 2^46009089 is an apocalyptic number.

46009089 is a gapful number since it is divisible by the number (49) formed by its first and last digit.

46009089 is the 6783-rd square number.

46009089 is the 3392-nd centered octagonal number.

It is an amenable number.

46009089 is a deficient number, since it is larger than the sum of its proper divisors (40663458).

46009089 is a wasteful number, since it uses less digits than its factorization.

46009089 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 92 (or 46 counting only the distinct ones).

The product of its (nonzero) digits is 15552, while the sum is 36.

The cubic root of 46009089 is about 358.3283843316.

Multiplying 46009089 by its sum of digits (36), we get a square (1656327204 = 40698²).

It can be divided in two parts, 4600 and 9089, that added together give a square (13689 = 117²).

The spelling of 46009089 in words is "forty-six million, nine thousand, eighty-nine".