401354000 has 80 divisors (see below), whose sum is σ = 984126000. Its totient is φ = 158284800.

The previous prime is 401353991. The next prime is 401354011. The reversal of 401354000 is 453104.

It can be written as a sum of positive squares in 8 ways, for example, as 201753616 + 199600384 = 14204^2 + 14128^2 .

It is a tau number, because it is divible by the number of its divisors (80).

It is a super-2 number, since 2×401354000² = 322170066632000000, which contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 401354000.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 144626 + ... + 147374.

It is an arithmetic number, because the mean of its divisors is an integer number (12301575).

Almost surely, 2^401354000 is an apocalyptic number.

401354000 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 401354000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (492063000).

401354000 is an abundant number, since it is smaller than the sum of its proper divisors (582772000).

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

401354000 is a wasteful number, since it uses less digits than its factorization.

401354000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2845 (or 2829 counting only the distinct ones).

The product of its (nonzero) digits is 240, while the sum is 17.

The square root of 401354000 is about 20033.8214028178. The cubic root of 401354000 is about 737.6367265417.

The spelling of 401354000 in words is "four hundred one million, three hundred fifty-four thousand".