249790464000 has 1368 divisors, whose sum is σ = 1131302294304. Its totient is φ = 51904512000.

The previous prime is 249790463987. The next prime is 249790464017. The reversal of 249790464000 is 464097942.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 22708223995 + ... + 22708224005.

Almost surely, 2^249790464000 is an apocalyptic number.

249790464000 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 249790464000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (565651147152).

249790464000 is an abundant number, since it is smaller than the sum of its proper divisors (881511830304).

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

249790464000 is an frugal number, since it uses more digits than its factorization.

249790464000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 86 (or 28 counting only the distinct ones).

The product of its (nonzero) digits is 435456, while the sum is 45.

The spelling of 249790464000 in words is "two hundred forty-nine billion, seven hundred ninety million, four hundred sixty-four thousand".