401262336 has 180 divisors, whose sum is σ = 1231178872. Its totient is φ = 129890304.

The previous prime is 401262317. The next prime is 401262371. The reversal of 401262336 is 633262104.

401262336 is a `hidden beast` number, since 4 + 0 + 1 + 2 + 623 + 36 = 666.

It is a super-2 number, since 2×401262336² = 322022924584353792, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 766971 + ... + 767493.

Almost surely, 2^401262336 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 401262336, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (615589436).

401262336 is an abundant number, since it is smaller than the sum of its proper divisors (829916536).

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

401262336 is an equidigital number, since it uses as much as digits as its factorization.

401262336 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 588 (or 565 counting only the distinct ones).

The product of its (nonzero) digits is 5184, while the sum is 27.

The square root of 401262336 is about 20031.5335408950. The cubic root of 401262336 is about 737.5805667417.

The spelling of 401262336 in words is "four hundred one million, two hundred sixty-two thousand, three hundred thirty-six".