401251968 has 240 divisors, whose sum is σ = 1298686950. Its totient is φ = 122923008.

The previous prime is 401251957. The next prime is 401251987. The reversal of 401251968 is 869152104.

It can be written as a sum of positive squares in 3 ways, for example, as 301091904 + 100160064 = 17352^2 + 10008^2 .

It is a super-3 number, since 3×401251968³ (a number of 27 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 29 ways as a sum of consecutive naturals, for example, 1752078 + ... + 1752306.

Almost surely, 2^401251968 is an apocalyptic number.

401251968 is a gapful number since it is divisible by the number (48) 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 401251968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (649343475).

401251968 is an abundant number, since it is smaller than the sum of its proper divisors (897434982).

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

401251968 is a wasteful number, since it uses less digits than its factorization.

401251968 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 281 (or 247 counting only the distinct ones).

The product of its (nonzero) digits is 17280, while the sum is 36.

The square root of 401251968 is about 20031.2747472546. The cubic root of 401251968 is about 737.5742140389.

The spelling of 401251968 in words is "four hundred one million, two hundred fifty-one thousand, nine hundred sixty-eight".