401774000 has 160 divisors (see below), whose sum is σ = 1042641600. Its totient is φ = 149299200.

The previous prime is 401773997. The next prime is 401774003. The reversal of 401774000 is 477104.

It is an interprime number because it is at equal distance from previous prime (401773997) and next prime (401774003).

It is a super-2 number, since 2×401774000² = 322844694152000000, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (401774003) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 3685946 + ... + 3686054.

It is an arithmetic number, because the mean of its divisors is an integer number (6516510).

Almost surely, 2^401774000 is an apocalyptic number.

401774000 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 401774000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (521320800).

401774000 is an abundant number, since it is smaller than the sum of its proper divisors (640867600).

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

401774000 is a wasteful number, since it uses less digits than its factorization.

401774000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 248 (or 232 counting only the distinct ones).

The product of its (nonzero) digits is 784, while the sum is 23.

The square root of 401774000 is about 20044.3009356775. The cubic root of 401774000 is about 737.8939387293.

The spelling of 401774000 in words is "four hundred one million, seven hundred seventy-four thousand".