401266320 has 320 divisors, whose sum is σ = 1613230080. Its totient is φ = 80123904.

The previous prime is 401266319. The next prime is 401266331. The reversal of 401266320 is 23662104.

It is a super-2 number, since 2×401266320² = 322029319132684800, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 414477 + ... + 415443.

It is an arithmetic number, because the mean of its divisors is an integer number (5041344).

Almost surely, 2^401266320 is an apocalyptic number.

401266320 is a gapful number since it is divisible by the number (40) 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 401266320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (806615040).

401266320 is an abundant number, since it is smaller than the sum of its proper divisors (1211963760).

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

401266320 is a wasteful number, since it uses less digits than its factorization.

401266320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1022 (or 1016 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 24.

The square root of 401266320 is about 20031.6329838583. The cubic root of 401266320 is about 737.5830077975.

The spelling of 401266320 in words is "four hundred one million, two hundred sixty-six thousand, three hundred twenty".