45211320 has 288 divisors, whose sum is σ = 187265520. Its totient is φ = 9354240.

The previous prime is 45211297. The next prime is 45211333. The reversal of 45211320 is 2311254.

It is a super-2 number, since 2×45211320² = 4088126912284800, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 45211293 and 45211302.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 193924 + ... + 194156.

Almost surely, 2^45211320 is an apocalyptic number.

45211320 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 45211320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (93632760).

45211320 is an abundant number, since it is smaller than the sum of its proper divisors (142054200).

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

45211320 is a wasteful number, since it uses less digits than its factorization.

45211320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 275 (or 261 counting only the distinct ones).

The product of its (nonzero) digits is 240, while the sum is 18.

The square root of 45211320 is about 6723.9363471110. The cubic root of 45211320 is about 356.2452335466.

Adding to 45211320 its reverse (2311254), we get a palindrome (47522574).

The spelling of 45211320 in words is "forty-five million, two hundred eleven thousand, three hundred twenty".