249941406 has 64 divisors (see below), whose sum is σ = 606283776. Its totient is φ = 67651200.

The previous prime is 249941399. The next prime is 249941411. The reversal of 249941406 is 604149942.

It is a Harshad number since it is a multiple of its sum of digits (39).

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, 21900 + ... + 31296.

It is an arithmetic number, because the mean of its divisors is an integer number (9473184).

Almost surely, 2^249941406 is an apocalyptic number.

249941406 is a gapful number since it is divisible by the number (26) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 249941406, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (303141888).

249941406 is an abundant number, since it is smaller than the sum of its proper divisors (356342370).

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

249941406 is a wasteful number, since it uses less digits than its factorization.

249941406 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9457.

The product of its (nonzero) digits is 62208, while the sum is 39.

The square root of 249941406 is about 15809.5352872879. The cubic root of 249941406 is about 629.9113052259.

The spelling of 249941406 in words is "two hundred forty-nine million, nine hundred forty-one thousand, four hundred six".