45986864 has 80 divisors (see below), whose sum is σ = 112254720. Its totient is φ = 17729280.

The previous prime is 45986849. The next prime is 45986911. The reversal of 45986864 is 46868954.

It is a happy number.

45986864 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×45986864² = 4229583321108992, which contains 22 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 200702 + ... + 200930.

It is an arithmetic number, because the mean of its divisors is an integer number (1403184).

Almost surely, 2^45986864 is an apocalyptic number.

45986864 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 45986864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (56127360).

45986864 is an abundant number, since it is smaller than the sum of its proper divisors (66267856).

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

45986864 is a wasteful number, since it uses less digits than its factorization.

45986864 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 418 (or 412 counting only the distinct ones).

The product of its digits is 1658880, while the sum is 50.

The square root of 45986864 is about 6781.3615152121. The cubic root of 45986864 is about 358.2706773931.

The spelling of 45986864 in words is "forty-five million, nine hundred eighty-six thousand, eight hundred sixty-four".