45511830 has 96 divisors (see below), whose sum is σ = 145664064. Its totient is φ = 9600768.

The previous prime is 45511819. The next prime is 45511831. The reversal of 45511830 is 3811554.

It is a super-4 number, since 4×45511830⁴ (a number of 32 digits) contains 4444 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 45511794 and 45511803.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (45511831) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 5412 + ... + 10968.

It is an arithmetic number, because the mean of its divisors is an integer number (1517334).

Almost surely, 2^45511830 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 45511830, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (72832032).

45511830 is an abundant number, since it is smaller than the sum of its proper divisors (100152234).

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

45511830 is a wasteful number, since it uses less digits than its factorization.

45511830 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5590 (or 5587 counting only the distinct ones).

The product of its (nonzero) digits is 2400, while the sum is 27.

The square root of 45511830 is about 6746.2456225667. The cubic root of 45511830 is about 357.0327865752.

The spelling of 45511830 in words is "forty-five million, five hundred eleven thousand, eight hundred thirty".