249234420 has 96 divisors (see below), whose sum is σ = 735952896. Its totient is φ = 62928000.

The previous prime is 249234413. The next prime is 249234473. The reversal of 249234420 is 24432942.

249234420 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a super-3 number, since 3×249234420³ (a number of 26 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 85995 + ... + 88845.

It is an arithmetic number, because the mean of its divisors is an integer number (7666176).

Almost surely, 2^249234420 is an apocalyptic number.

249234420 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 249234420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (367976448).

249234420 is an abundant number, since it is smaller than the sum of its proper divisors (486718476).

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

249234420 is a wasteful number, since it uses less digits than its factorization.

249234420 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2941 (or 2939 counting only the distinct ones).

The product of its (nonzero) digits is 13824, while the sum is 30.

The square root of 249234420 is about 15787.1599725853. The cubic root of 249234420 is about 629.3168205184.

The spelling of 249234420 in words is "two hundred forty-nine million, two hundred thirty-four thousand, four hundred twenty".