401322656 has 48 divisors (see below), whose sum is σ = 907752384. Its totient is φ = 171085824.

The previous prime is 401322641. The next prime is 401322671. The reversal of 401322656 is 656223104.

It is an interprime number because it is at equal distance from previous prime (401322641) and next prime (401322671).

It is a super-2 number, since 2×401322656² = 322119748437788672, which contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 38591 + ... + 47873.

It is an arithmetic number, because the mean of its divisors is an integer number (18911508).

Almost surely, 2^401322656 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 401322656, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (453876192).

401322656 is an abundant number, since it is smaller than the sum of its proper divisors (506429728).

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

401322656 is a wasteful number, since it uses less digits than its factorization.

401322656 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9493 (or 9485 counting only the distinct ones).

The product of its (nonzero) digits is 8640, while the sum is 29.

The square root of 401322656 is about 20033.0391104296. The cubic root of 401322656 is about 737.6175239695.

The spelling of 401322656 in words is "four hundred one million, three hundred twenty-two thousand, six hundred fifty-six".