249360342 has 128 divisors (see below), whose sum is σ = 670629888. Its totient is φ = 59875200.

The previous prime is 249360337. The next prime is 249360367. The reversal of 249360342 is 243063942.

249360342 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 329028 + ... + 329784.

It is an arithmetic number, because the mean of its divisors is an integer number (5239296).

Almost surely, 2^249360342 is an apocalyptic number.

249360342 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 249360342, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (335314944).

249360342 is an abundant number, since it is smaller than the sum of its proper divisors (421269546).

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

249360342 is a wasteful number, since it uses less digits than its factorization.

249360342 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 834.

The product of its (nonzero) digits is 31104, while the sum is 33.

The square root of 249360342 is about 15791.1475833772. The cubic root of 249360342 is about 629.4227870092.

It can be divided in two parts, 2493 and 60342, that added together give a triangular number (62835 = T₃₅₄).

The spelling of 249360342 in words is "two hundred forty-nine million, three hundred sixty thousand, three hundred forty-two".