45310320 has 160 divisors (see below), whose sum is σ = 170346240. Its totient is φ = 10978560.

The previous prime is 45310301. The next prime is 45310339. The reversal of 45310320 is 2301354.

It is an interprime number because it is at equal distance from previous prime (45310301) and next prime (45310339).

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 = 45310293 and 45310302.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 22807 + ... + 24713.

It is an arithmetic number, because the mean of its divisors is an integer number (1064664).

Almost surely, 2^45310320 is an apocalyptic number.

45310320 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 45310320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (85173120).

45310320 is an abundant number, since it is smaller than the sum of its proper divisors (125035920).

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

45310320 is a wasteful number, since it uses less digits than its factorization.

45310320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1940 (or 1928 counting only the distinct ones).

The product of its (nonzero) digits is 360, while the sum is 18.

The square root of 45310320 is about 6731.2940806356. The cubic root of 45310320 is about 356.5050694083.

Adding to 45310320 its reverse (2301354), we get a palindrome (47611674).

The spelling of 45310320 in words is "forty-five million, three hundred ten thousand, three hundred twenty".