405248000 has 96 divisors (see below), whose sum is σ = 1011890880. Its totient is φ = 161996800.

The previous prime is 405247993. The next prime is 405248009. The reversal of 405248000 is 842504.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (405248009) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 255209 + ... + 256791.

It is an arithmetic number, because the mean of its divisors is an integer number (10540530).

Almost surely, 2^405248000 is an apocalyptic number.

405248000 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 405248000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (505945440).

405248000 is an abundant number, since it is smaller than the sum of its proper divisors (606642880).

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

405248000 is an equidigital number, since it uses as much as digits as its factorization.

405248000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1620 (or 1590 counting only the distinct ones).

The product of its (nonzero) digits is 1280, while the sum is 23.

The square root of 405248000 is about 20130.7724640661. The cubic root of 405248000 is about 740.0146089154.

The spelling of 405248000 in words is "four hundred five million, two hundred forty-eight thousand".