401360520 has 128 divisors (see below), whose sum is σ = 1338560640. Its totient is φ = 95447040.

The previous prime is 401360501. The next prime is 401360593. The reversal of 401360520 is 25063104.

It is a happy number.

It is a super-2 number, since 2×401360520² = 322180534029340800, which contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 67092 + ... + 72828.

It is an arithmetic number, because the mean of its divisors is an integer number (10457505).

Almost surely, 2^401360520 is an apocalyptic number.

401360520 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 401360520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (669280320).

401360520 is an abundant number, since it is smaller than the sum of its proper divisors (937200120).

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

401360520 is a wasteful number, since it uses less digits than its factorization.

401360520 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5815 (or 5811 counting only the distinct ones).

The product of its (nonzero) digits is 720, while the sum is 21.

The square root of 401360520 is about 20033.9841269778. The cubic root of 401360520 is about 737.6407208255.

The spelling of 401360520 in words is "four hundred one million, three hundred sixty thousand, five hundred twenty".