249606420 has 192 divisors, whose sum is σ = 868761600. Its totient is φ = 52254720.

The previous prime is 249606397. The next prime is 249606431. The reversal of 249606420 is 24606942.

It is a happy number.

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, 246876 + ... + 247884.

It is an arithmetic number, because the mean of its divisors is an integer number (4524800).

Almost surely, 2^249606420 is an apocalyptic number.

249606420 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 249606420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (434380800).

249606420 is an abundant number, since it is smaller than the sum of its proper divisors (619155180).

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

249606420 is a wasteful number, since it uses less digits than its factorization.

249606420 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1078 (or 1076 counting only the distinct ones).

The product of its (nonzero) digits is 20736, while the sum is 33.

The square root of 249606420 is about 15798.9373060342. The cubic root of 249606420 is about 629.6297648280.

The spelling of 249606420 in words is "two hundred forty-nine million, six hundred six thousand, four hundred twenty".