401208000 has 224 divisors, whose sum is σ = 1348800960. Its totient is φ = 105062400.

The previous prime is 401207977. The next prime is 401208013. The reversal of 401208000 is 802104.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1751886 + ... + 1752114.

Almost surely, 2^401208000 is an apocalyptic number.

401208000 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 401208000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (674400480).

401208000 is an abundant number, since it is smaller than the sum of its proper divisors (947592960).

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

401208000 is a wasteful number, since it uses less digits than its factorization.

401208000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 332 (or 312 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 15.

The square root of 401208000 is about 20030.1772333647. The cubic root of 401208000 is about 737.5472726569.

The spelling of 401208000 in words is "four hundred one million, two hundred eight thousand".