404298048 has 448 divisors, whose sum is σ = 1474744320. Its totient is φ = 94617600.

The previous prime is 404297983. The next prime is 404298049. The reversal of 404298048 is 840892404.

It is a tau number, because it is divible by the number of its divisors (448).

It is a super-2 number, since 2×404298048² = 326913823233220608, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 404297997 and 404298015.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (404298049) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 9860908 + ... + 9860948.

It is an arithmetic number, because the mean of its divisors is an integer number (3291840).

Almost surely, 2^404298048 is an apocalyptic number.

404298048 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 404298048, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (737372160).

404298048 is an abundant number, since it is smaller than the sum of its proper divisors (1070446272).

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

404298048 is a wasteful number, since it uses less digits than its factorization.

404298048 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 126 (or 116 counting only the distinct ones).

The product of its (nonzero) digits is 73728, while the sum is 39.

The square root of 404298048 is about 20107.1640964110. The cubic root of 404298048 is about 739.4359275779.

The spelling of 404298048 in words is "four hundred four million, two hundred ninety-eight thousand, forty-eight".