45953780 has 96 divisors (see below), whose sum is σ = 108380160. Its totient is φ = 16295040.

The previous prime is 45953779. The next prime is 45953783. The reversal of 45953780 is 8735954.

It is a super-2 number, since 2×45953780² = 4223499792576800, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (45953783) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 553619 + ... + 553701.

It is an arithmetic number, because the mean of its divisors is an integer number (1128960).

Almost surely, 2^45953780 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 45953780, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (54190080).

45953780 is an abundant number, since it is smaller than the sum of its proper divisors (62426380).

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

45953780 is a wasteful number, since it uses less digits than its factorization.

45953780 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 189 (or 187 counting only the distinct ones).

The product of its (nonzero) digits is 151200, while the sum is 41.

The square root of 45953780 is about 6778.9217431683. The cubic root of 45953780 is about 358.1847407462.

The spelling of 45953780 in words is "forty-five million, nine hundred fifty-three thousand, seven hundred eighty".