401476000 has 96 divisors (see below), whose sum is σ = 1020736080. Its totient is φ = 155008000.

The previous prime is 401475973. The next prime is 401476001. The reversal of 401476000 is 674104.

It can be written as a sum of positive squares in 8 ways, for example, as 355216 + 401120784 = 596^2 + 20028^2 .

It is a super-2 number, since 2×401476000² = 322365957152000000, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (401476001) 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, 114270 + ... + 117730.

Almost surely, 2^401476000 is an apocalyptic number.

401476000 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 401476000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (510368040).

401476000 is an abundant number, since it is smaller than the sum of its proper divisors (619260080).

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

401476000 is a wasteful number, since it uses less digits than its factorization.

401476000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3515 (or 3497 counting only the distinct ones).

The product of its (nonzero) digits is 672, while the sum is 22.

The square root of 401476000 is about 20036.8660224098. The cubic root of 401476000 is about 737.7114590420.

The spelling of 401476000 in words is "four hundred one million, four hundred seventy-six thousand".