401051000 has 256 divisors, whose sum is σ = 1164533760. Its totient is φ = 126297600.

The previous prime is 401050973. The next prime is 401051009. The reversal of 401051000 is 150104.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (401051009) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 7566974 + ... + 7567026.

It is an arithmetic number, because the mean of its divisors is an integer number (4548960).

Almost surely, 2^401051000 is an apocalyptic number.

401051000 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 401051000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (582266880).

401051000 is an abundant number, since it is smaller than the sum of its proper divisors (763482760).

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

401051000 is a wasteful number, since it uses less digits than its factorization.

401051000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 151 (or 137 counting only the distinct ones).

The product of its (nonzero) digits is 20, while the sum is 11.

The square root of 401051000 is about 20026.2577632467. The cubic root of 401051000 is about 737.4510548768.

The spelling of 401051000 in words is "four hundred one million, fifty-one thousand".