404001864 has 320 divisors, whose sum is σ = 1411704000. Its totient is φ = 106686720.

The previous prime is 404001847. The next prime is 404001943. The reversal of 404001864 is 468100404.

It is a super-2 number, since 2×404001864² = 326435012230948992, which contains 22 as substring.

It is a hoax number, since the sum of its digits (27) coincides with the sum of the digits of its distinct prime factors.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 9853684 + ... + 9853724.

It is an arithmetic number, because the mean of its divisors is an integer number (4411575).

Almost surely, 2^404001864 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 404001864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (705852000).

404001864 is an abundant number, since it is smaller than the sum of its proper divisors (1007702136).

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

404001864 is a wasteful number, since it uses less digits than its factorization.

404001864 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 103 (or 72 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 27.

The square root of 404001864 is about 20099.7976109214. The cubic root of 404001864 is about 739.2553161084.

The spelling of 404001864 in words is "four hundred four million, one thousand, eight hundred sixty-four".