401326464 has 256 divisors, whose sum is σ = 1361088000. Its totient is φ = 103864320.

The previous prime is 401326451. The next prime is 401326469. The reversal of 401326464 is 464623104.

It is a super-2 number, since 2×401326464² = 322125861413486592, which contains 22 as substring.

It is a hoax number, since the sum of its digits (30) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (401326469) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1448694 + ... + 1448970.

It is an arithmetic number, because the mean of its divisors is an integer number (5316750).

Almost surely, 2^401326464 is an apocalyptic number.

401326464 is a gapful number since it is divisible by the number (44) 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 401326464, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (680544000).

401326464 is an abundant number, since it is smaller than the sum of its proper divisors (959761536).

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

401326464 is a wasteful number, since it uses less digits than its factorization.

401326464 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 326 (or 300 counting only the distinct ones).

The product of its (nonzero) digits is 13824, while the sum is 30.

The square root of 401326464 is about 20033.1341531973. The cubic root of 401326464 is about 737.6198569540.

Adding to 401326464 its reverse (464623104), we get a palindrome (865949568).

The spelling of 401326464 in words is "four hundred one million, three hundred twenty-six thousand, four hundred sixty-four".