401253336 has 192 divisors, whose sum is σ = 1248998400. Its totient is φ = 115257600.

The previous prime is 401253319. The next prime is 401253341. The reversal of 401253336 is 633352104.

It is a happy number.

401253336 is a `hidden beast` number, since 401 + 253 + 3 + 3 + 6 = 666.

It is a super-2 number, since 2×401253336² = 322008479302257792, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1448430 + ... + 1448706.

It is an arithmetic number, because the mean of its divisors is an integer number (6505200).

Almost surely, 2^401253336 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 401253336, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (624499200).

401253336 is an abundant number, since it is smaller than the sum of its proper divisors (847745064).

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

401253336 is a wasteful number, since it uses less digits than its factorization.

401253336 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 390 (or 383 counting only the distinct ones).

The product of its (nonzero) digits is 6480, while the sum is 27.

The square root of 401253336 is about 20031.3088938292. The cubic root of 401253336 is about 737.5750522490.

The spelling of 401253336 in words is "four hundred one million, two hundred fifty-three thousand, three hundred thirty-six".