404519940 has 288 divisors, whose sum is σ = 1426440960. Its totient is φ = 95040000.

The previous prime is 404519939. The next prime is 404519953. The reversal of 404519940 is 49915404.

It is a happy number.

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

It is a junction number, because it is equal to n+sod(n) for n = 404519895 and 404519904.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 2678865 + ... + 2679015.

It is an arithmetic number, because the mean of its divisors is an integer number (4952920).

Almost surely, 2^404519940 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 404519940, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (713220480).

404519940 is an abundant number, since it is smaller than the sum of its proper divisors (1021921020).

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

404519940 is a wasteful number, since it uses less digits than its factorization.

404519940 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 232 (or 213 counting only the distinct ones).

The product of its (nonzero) digits is 25920, while the sum is 36.

The square root of 404519940 is about 20112.6810743869. The cubic root of 404519940 is about 739.5711783830.

The spelling of 404519940 in words is "four hundred four million, five hundred nineteen thousand, nine hundred forty".