45782400 has 192 divisors, whose sum is σ = 159364800. Its totient is φ = 11520000.

The previous prime is 45782369. The next prime is 45782413. The reversal of 45782400 is 428754.

It is a tau number, because it is divible by the number of its divisors (192).

It is a Harshad number since it is a multiple of its sum of digits (30).

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 23 ways as a sum of consecutive naturals, for example, 182275 + ... + 182525.

It is an arithmetic number, because the mean of its divisors is an integer number (830025).

Almost surely, 2^45782400 is an apocalyptic number.

45782400 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 45782400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (79682400).

45782400 is an abundant number, since it is smaller than the sum of its proper divisors (113582400).

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

45782400 is a wasteful number, since it uses less digits than its factorization.

45782400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 297 (or 280 counting only the distinct ones).

The product of its (nonzero) digits is 8960, while the sum is 30.

The square root of 45782400 is about 6766.2692822559. The cubic root of 45782400 is about 357.7389147448.

The spelling of 45782400 in words is "forty-five million, seven hundred eighty-two thousand, four hundred".