249778620 has 576 divisors, whose sum is σ = 1062512640. Its totient is φ = 47443968.

The previous prime is 249778619. The next prime is 249778663. The reversal of 249778620 is 26877942.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 10859929 + ... + 10859951.

It is an arithmetic number, because the mean of its divisors is an integer number (1844640).

Almost surely, 2^249778620 is an apocalyptic number.

249778620 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 249778620, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (531256320).

249778620 is an abundant number, since it is smaller than the sum of its proper divisors (812734020).

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

249778620 is a wasteful number, since it uses less digits than its factorization.

249778620 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 91 (or 70 counting only the distinct ones).

The product of its (nonzero) digits is 338688, while the sum is 45.

The square root of 249778620 is about 15804.3861000673. The cubic root of 249778620 is about 629.7745224856.

The spelling of 249778620 in words is "two hundred forty-nine million, seven hundred seventy-eight thousand, six hundred twenty".