45862080 has 224 divisors, whose sum is σ = 164153088. Its totient is φ = 10752000.

The previous prime is 45862049. The next prime is 45862093. The reversal of 45862080 is 8026854.

45862080 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is a congruent number.

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 31 ways as a sum of consecutive naturals, for example, 454030 + ... + 454130.

Almost surely, 2^45862080 is an apocalyptic number.

45862080 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 45862080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (82076544).

45862080 is an abundant number, since it is smaller than the sum of its proper divisors (118291008).

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

45862080 is a wasteful number, since it uses less digits than its factorization.

45862080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 175 (or 165 counting only the distinct ones).

The product of its (nonzero) digits is 15360, while the sum is 33.

The square root of 45862080 is about 6772.1547531048. The cubic root of 45862080 is about 357.9463315406.

It can be divided in two parts, 4586 and 2080, that added together give a palindrome (6666).

The spelling of 45862080 in words is "forty-five million, eight hundred sixty-two thousand, eighty".