404354000 has 80 divisors (see below), whose sum is σ = 984009936. Its totient is φ = 160704000.

The previous prime is 404353979. The next prime is 404354003. The reversal of 404354000 is 453404.

It is a happy number.

It can be written as a sum of positive squares in 8 ways, for example, as 359785024 + 44568976 = 18968^2 + 6676^2 .

It is a tau number, because it is divible by the number of its divisors (80).

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (404354003) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 361442 + ... + 362558.

Almost surely, 2^404354000 is an apocalyptic number.

404354000 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 404354000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (492004968).

404354000 is an abundant number, since it is smaller than the sum of its proper divisors (579655936).

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

404354000 is a wasteful number, since it uses less digits than its factorization.

404354000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1321 (or 1305 counting only the distinct ones).

The product of its (nonzero) digits is 960, while the sum is 20.

The square root of 404354000 is about 20108.5553931654. Note that the first 3 decimals coincide. The cubic root of 404354000 is about 739.4700369112.

The spelling of 404354000 in words is "four hundred four million, three hundred fifty-four thousand".