404961208827904 has 175 divisors, whose sum is σ = 860542541015977. Its totient is φ = 190569980624896.

The previous prime is 404961208827859. The next prime is 404961208827907. The reversal of 404961208827904 is 409728802169404.

The square root of 404961208827904 is 20123648.

The cubic root of 404961208827904 is 73984.

It is a perfect power (a square, a cube, a 6-th power), and thus also a powerful number.

It can be written as a sum of positive squares in 3 ways, for example, as 4110837350400 + 400850371477504 = 2027520^2 + 20021248^2 .

It is a Harshad number since it is a multiple of its sum of digits (64).

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (404961208827907) by changing a digit.

It is a polite number, since it can be written in 6 ways as a sum of consecutive naturals, for example, 23821247578104 + ... + 23821247578120.

Almost surely, 2^{404961208827904} is an apocalyptic number.

404961208827904 is the 20123648-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 404961208827904

404961208827904 is an abundant number, since it is smaller than the sum of its proper divisors (455581332188073).

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

404961208827904 is an frugal number, since it uses more digits than its factorization.

404961208827904 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 150 (or 19 counting only the distinct ones).

The product of its (nonzero) digits is 55738368, while the sum is 64.

404961208827904 divided by its sum of digits (64) gives a 6-th power (6327518887936 = 136⁶).

The spelling of 404961208827904 in words is "four hundred four trillion, nine hundred sixty-one billion, two hundred eight million, eight hundred twenty-seven thousand, nine hundred four".