404245248 has 144 divisors (see below), whose sum is σ = 1187155200. Its totient is φ = 121098240.

The previous prime is 404245243. The next prime is 404245277. The reversal of 404245248 is 842542404.

It is a hoax number, since the sum of its digits (33) coincides with the sum of the digits of its distinct prime factors.

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

It is not an unprimeable number, because it can be changed into a prime (404245241) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 920613 + ... + 921051.

Almost surely, 2^404245248 is an apocalyptic number.

404245248 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 404245248, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (593577600).

404245248 is an abundant number, since it is smaller than the sum of its proper divisors (782909952).

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

404245248 is a wasteful number, since it uses less digits than its factorization.

404245248 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 578 (or 564 counting only the distinct ones).

The product of its (nonzero) digits is 40960, while the sum is 33.

The square root of 404245248 is about 20105.8510886757. The cubic root of 404245248 is about 739.4037368736.

The spelling of 404245248 in words is "four hundred four million, two hundred forty-five thousand, two hundred forty-eight".