404197248 has 256 divisors, whose sum is σ = 1357171200. Its totient is φ = 103735296.

The previous prime is 404197231. The next prime is 404197289. The reversal of 404197248 is 842791404.

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, 1502458 + ... + 1502726.

It is an arithmetic number, because the mean of its divisors is an integer number (5301450).

Almost surely, 2^404197248 is an apocalyptic number.

404197248 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 404197248, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (678585600).

404197248 is an abundant number, since it is smaller than the sum of its proper divisors (952973952).

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

404197248 is a wasteful number, since it uses less digits than its factorization.

404197248 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 349 (or 337 counting only the distinct ones).

The product of its (nonzero) digits is 64512, while the sum is 39.

The square root of 404197248 is about 20104.6573708681. The cubic root of 404197248 is about 739.3744701646.

The spelling of 404197248 in words is "four hundred four million, one hundred ninety-seven thousand, two hundred forty-eight".