401539320 has 576 divisors, whose sum is σ = 1747811520. Its totient is φ = 78962688.

The previous prime is 401539319. The next prime is 401539343. The reversal of 401539320 is 23935104.

It is a super-2 number, since 2×401539320² = 322467651012124800, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 3898389 + ... + 3898491.

It is an arithmetic number, because the mean of its divisors is an integer number (3034395).

Almost surely, 2^401539320 is an apocalyptic number.

401539320 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 401539320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (873905760).

401539320 is an abundant number, since it is smaller than the sum of its proper divisors (1346272200).

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

401539320 is a wasteful number, since it uses less digits than its factorization.

401539320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 164 (or 150 counting only the distinct ones).

The product of its (nonzero) digits is 3240, while the sum is 27.

The square root of 401539320 is about 20038.4460475357. The cubic root of 401539320 is about 737.7502404670.

The spelling of 401539320 in words is "four hundred one million, five hundred thirty-nine thousand, three hundred twenty".