45795840 has 160 divisors (see below), whose sum is σ = 150258240. Its totient is φ = 11894784.

The previous prime is 45795809. The next prime is 45795847. The reversal of 45795840 is 4859754.

It is a tau number, because it is divible by the number of its divisors (160).

It is a super-2 number, since 2×45795840² = 4194517922611200, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 45795792 and 45795801.

It is not an unprimeable number, because it can be changed into a prime (45795847) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 514516 + ... + 514604.

It is an arithmetic number, because the mean of its divisors is an integer number (939114).

Almost surely, 2^45795840 is an apocalyptic number.

45795840 is a gapful number since it is divisible by the number (40) 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 45795840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (75129120).

45795840 is an abundant number, since it is smaller than the sum of its proper divisors (104462400).

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

45795840 is an equidigital number, since it uses as much as digits as its factorization.

45795840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 182 (or 166 counting only the distinct ones).

The product of its (nonzero) digits is 201600, while the sum is 42.

The square root of 45795840 is about 6767.2623711513. The cubic root of 45795840 is about 357.7739175741.

The spelling of 45795840 in words is "forty-five million, seven hundred ninety-five thousand, eight hundred forty".