249076279452 has 384 divisors, whose sum is σ = 816926294016. Its totient is φ = 56972160000.

The previous prime is 249076279451. The next prime is 249076279457. The reversal of 249076279452 is 254972670942.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 249076279392 and 249076279401.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (249076279451) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 26433702 + ... + 26443122.

It is an arithmetic number, because the mean of its divisors is an integer number (2127412224).

Almost surely, 2^249076279452 is an apocalyptic number.

249076279452 is a gapful number since it is divisible by the number (22) 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 249076279452, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (408463147008).

249076279452 is an abundant number, since it is smaller than the sum of its proper divisors (567850014564).

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

249076279452 is a wasteful number, since it uses less digits than its factorization.

249076279452 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9561 (or 9559 counting only the distinct ones).

The product of its (nonzero) digits is 15240960, while the sum is 57.

The spelling of 249076279452 in words is "two hundred forty-nine billion, seventy-six million, two hundred seventy-nine thousand, four hundred fifty-two".