45365400 has 192 divisors, whose sum is σ = 161894400. Its totient is φ = 11664000.

The previous prime is 45365399. The next prime is 45365413. The reversal of 45365400 is 456354.

45365400 is a `hidden beast` number, since 4 + 5 + 3 + 654 + 0 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 167265 + ... + 167535.

It is an arithmetic number, because the mean of its divisors is an integer number (843200).

Almost surely, 2^45365400 is an apocalyptic number.

45365400 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 45365400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (80947200).

45365400 is an abundant number, since it is smaller than the sum of its proper divisors (116529000).

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

45365400 is a wasteful number, since it uses less digits than its factorization.

45365400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 327 (or 312 counting only the distinct ones).

The product of its (nonzero) digits is 7200, while the sum is 27.

The square root of 45365400 is about 6735.3841761254. The cubic root of 45365400 is about 356.6494687994.

The spelling of 45365400 in words is "forty-five million, three hundred sixty-five thousand, four hundred".