45953856 has 252 divisors, whose sum is σ = 158515812. Its totient is φ = 12607488.

The previous prime is 45953849. The next prime is 45953867. The reversal of 45953856 is 65835954.

45953856 is a `hidden beast` number, since 4 + 595 + 3 + 8 + 56 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 20793600 + 25160256 = 4560^2 + 5016^2 .

It is a super-2 number, since 2×45953856² = 4223513762537472, which contains 22 as substring.

Its product of digits (648000) is a multiple of the sum of its prime divisors (54).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 2418615 + ... + 2418633.

It is an arithmetic number, because the mean of its divisors is an integer number (629031).

Almost surely, 2^45953856 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 45953856, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (79257906).

45953856 is an abundant number, since it is smaller than the sum of its proper divisors (112561956).

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

45953856 is a wasteful number, since it uses less digits than its factorization.

45953856 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 86 (or 54 counting only the distinct ones).

The product of its digits is 648000, while the sum is 45.

The square root of 45953856 is about 6778.9273487772. The cubic root of 45953856 is about 358.1849382057.

The spelling of 45953856 in words is "forty-five million, nine hundred fifty-three thousand, eight hundred fifty-six".