404213760 has 416 divisors, whose sum is σ = 1556945280. Its totient is φ = 99090432.

The previous prime is 404213749. The next prime is 404213767. The reversal of 404213760 is 67312404.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (404213767) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 9400299 + ... + 9400341.

Almost surely, 2^404213760 is an apocalyptic number.

404213760 is a gapful number since it is divisible by the number (40) 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 404213760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (778472640).

404213760 is an abundant number, since it is smaller than the sum of its proper divisors (1152731520).

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

404213760 is a wasteful number, since it uses less digits than its factorization.

404213760 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 98 (or 70 counting only the distinct ones).

The product of its (nonzero) digits is 4032, while the sum is 27.

The square root of 404213760 is about 20105.0680177909. The cubic root of 404213760 is about 739.3845381739.

The spelling of 404213760 in words is "four hundred four million, two hundred thirteen thousand, seven hundred sixty".