45400320 has 216 divisors, whose sum is σ = 179839296. Its totient is φ = 10358784.

The previous prime is 45400309. The next prime is 45400331. The reversal of 45400320 is 2300454.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (45400309) and next prime (45400331).

It is a super-2 number, since 2×45400320² = 4122378112204800, 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 = 45400293 and 45400302.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 80359 + ... + 80921.

Almost surely, 2^45400320 is an apocalyptic number.

45400320 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 45400320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (89919648).

45400320 is an abundant number, since it is smaller than the sum of its proper divisors (134438976).

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

45400320 is a wasteful number, since it uses less digits than its factorization.

45400320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 597 (or 580 counting only the distinct ones).

The product of its (nonzero) digits is 480, while the sum is 18.

The square root of 45400320 is about 6737.9759572145. The cubic root of 45400320 is about 356.7409555953.

Adding to 45400320 its reverse (2300454), we get a palindrome (47700774).

The spelling of 45400320 in words is "forty-five million, four hundred thousand, three hundred twenty".