249321408000 has 480 divisors, whose sum is σ = 964303468128. Its totient is φ = 56985600000.

The previous prime is 249321407971. The next prime is 249321408001. The reversal of 249321408000 is 804123942.

It is a tau number, because it is divible by the number of its divisors (480).

It is a super-2 number, since 2×249321408000² (a number of 24 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (249321408001) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 9394750 + ... + 9421250.

Almost surely, 2^249321408000 is an apocalyptic number.

249321408000 is a gapful number since it is divisible by the number (20) 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 249321408000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (482151734064).

249321408000 is an abundant number, since it is smaller than the sum of its proper divisors (714982060128).

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

249321408000 is an equidigital number, since it uses as much as digits as its factorization.

249321408000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 26551 (or 26518 counting only the distinct ones).

The product of its (nonzero) digits is 13824, while the sum is 33.

The spelling of 249321408000 in words is "two hundred forty-nine billion, three hundred twenty-one million, four hundred eight thousand".