401744000 has 256 divisors, whose sum is σ = 1214403840. Its totient is φ = 129024000.

The previous prime is 401743957. The next prime is 401744009. The reversal of 401744000 is 447104.

It is a super-2 number, since 2×401744000² = 322796483072000000, which contains 22 as substring.

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

It is not an unprimeable number, because it can be changed into a prime (401744009) 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 31 ways as a sum of consecutive naturals, for example, 1903895 + ... + 1904105.

It is an arithmetic number, because the mean of its divisors is an integer number (4743765).

Almost surely, 2^401744000 is an apocalyptic number.

401744000 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 401744000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (607201920).

401744000 is an abundant number, since it is smaller than the sum of its proper divisors (812659840).

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

401744000 is a wasteful number, since it uses less digits than its factorization.

401744000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 264 (or 242 counting only the distinct ones).

The product of its (nonzero) digits is 448, while the sum is 20.

The square root of 401744000 is about 20043.5525793209. The cubic root of 401744000 is about 737.8755723765.

The spelling of 401744000 in words is "four hundred one million, seven hundred forty-four thousand".