45284800 has 168 divisors, whose sum is σ = 126991872. Its totient is φ = 15744000.

The previous prime is 45284783. The next prime is 45284803. The reversal of 45284800 is 848254.

It is a super-2 number, since 2×45284800² = 4101426222080000, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (31).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (45284803) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 545559 + ... + 545641.

It is an arithmetic number, because the mean of its divisors is an integer number (755904).

Almost surely, 2^45284800 is an apocalyptic number.

45284800 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 45284800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (63495936).

45284800 is an abundant number, since it is smaller than the sum of its proper divisors (81707072).

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

45284800 is a wasteful number, since it uses less digits than its factorization.

45284800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 147 (or 132 counting only the distinct ones).

The product of its (nonzero) digits is 10240, while the sum is 31.

The square root of 45284800 is about 6729.3981900316. The cubic root of 45284800 is about 356.4381257334.

The spelling of 45284800 in words is "forty-five million, two hundred eighty-four thousand, eight hundred".