440149248 has 288 divisors, whose sum is σ = 1624734720. Its totient is φ = 114186240.

The previous prime is 440149217. The next prime is 440149267. The reversal of 440149248 is 842941044.

440149248 is a `hidden beast` number, since 4 + 401 + 4 + 9 + 248 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

It is a Harshad number since it is a multiple of its sum of digits (36).

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, 531811 + ... + 532637.

It is an arithmetic number, because the mean of its divisors is an integer number (5641440).

Almost surely, 2^440149248 is an apocalyptic number.

440149248 is a gapful number since it is divisible by the number (48) 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 440149248, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (812367360).

440149248 is an abundant number, since it is smaller than the sum of its proper divisors (1184585472).

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

440149248 is a wasteful number, since it uses less digits than its factorization.

440149248 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 870 (or 850 counting only the distinct ones).

The product of its (nonzero) digits is 36864, while the sum is 36.

The square root of 440149248 is about 20979.7342213861. The cubic root of 440149248 is about 760.6764798623.

The spelling of 440149248 in words is "four hundred forty million, one hundred forty-nine thousand, two hundred forty-eight".