404957340 has 192 divisors, whose sum is σ = 1377976320. Its totient is φ = 98288640.

The previous prime is 404957339. The next prime is 404957347. The reversal of 404957340 is 43759404.

404957340 is a `hidden beast` number, since 4 + 0 + 49 + 573 + 40 = 666.

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 = 404957295 and 404957304.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (404957347) by changing a digit.

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 63 ways as a sum of consecutive naturals, for example, 283869 + ... + 285291.

It is an arithmetic number, because the mean of its divisors is an integer number (7176960).

Almost surely, 2^404957340 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 404957340, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (688988160).

404957340 is an abundant number, since it is smaller than the sum of its proper divisors (973018980).

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

404957340 is a wasteful number, since it uses less digits than its factorization.

404957340 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1489 (or 1481 counting only the distinct ones).

The product of its (nonzero) digits is 60480, while the sum is 36.

The square root of 404957340 is about 20123.5518733647. The cubic root of 404957340 is about 739.8376439531.

The spelling of 404957340 in words is "four hundred four million, nine hundred fifty-seven thousand, three hundred forty".