401377000 has 64 divisors (see below), whose sum is σ = 955281600. Its totient is φ = 157806400.

The previous prime is 401376977. The next prime is 401377001. The reversal of 401377000 is 773104.

It is a super-2 number, since 2×401377000² = 322206992258000000, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (401377001) 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, 55599 + ... + 62401.

It is an arithmetic number, because the mean of its divisors is an integer number (14926275).

Almost surely, 2^401377000 is an apocalyptic number.

401377000 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 401377000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (477640800).

401377000 is an abundant number, since it is smaller than the sum of its proper divisors (553904600).

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

401377000 is a wasteful number, since it uses less digits than its factorization.

401377000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6883 (or 6869 counting only the distinct ones).

The product of its (nonzero) digits is 588, while the sum is 22.

The square root of 401377000 is about 20034.3954238704. The cubic root of 401377000 is about 737.6508166140.

The spelling of 401377000 in words is "four hundred one million, three hundred seventy-seven thousand".