45282830400 has 252 divisors, whose sum is σ = 163676838000. Its totient is φ = 11870530560.

The previous prime is 45282830393. The next prime is 45282830441. The reversal of 45282830400 is 403828254.

It is a Harshad number since it is a multiple of its sum of digits (36).

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 35 ways as a sum of consecutive naturals, for example, 822951 + ... + 876249.

Almost surely, 2^45282830400 is an apocalyptic number.

45282830400 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 45282830400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (81838419000).

45282830400 is an abundant number, since it is smaller than the sum of its proper divisors (118394007600).

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

45282830400 is a wasteful number, since it uses less digits than its factorization.

45282830400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 53386 (or 53368 counting only the distinct ones).

The product of its (nonzero) digits is 61440, while the sum is 36.

The spelling of 45282830400 in words is "forty-five billion, two hundred eighty-two million, eight hundred thirty thousand, four hundred".