45802416 has 80 divisors (see below), whose sum is σ = 129991680. Its totient is φ = 13781760.

The previous prime is 45802391. The next prime is 45802417. The reversal of 45802416 is 61420854.

It is a super-2 number, since 2×45802416² = 4195722622874112, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (45802417) 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, 117550 + ... + 117938.

It is an arithmetic number, because the mean of its divisors is an integer number (1624896).

Almost surely, 2^45802416 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 45802416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (64995840).

45802416 is an abundant number, since it is smaller than the sum of its proper divisors (84189264).

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

45802416 is a wasteful number, since it uses less digits than its factorization.

45802416 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 634 (or 628 counting only the distinct ones).

The product of its (nonzero) digits is 7680, while the sum is 30.

The square root of 45802416 is about 6767.7482222671. The cubic root of 45802416 is about 357.7910414634.

It can be divided in two parts, 4580 and 2416, that added together give a palindrome (6996).

The spelling of 45802416 in words is "forty-five million, eight hundred two thousand, four hundred sixteen".