401511680 has 72 divisors (see below), whose sum is σ = 975147432. Its totient is φ = 158367744.

The previous prime is 401511673. The next prime is 401511701. The reversal of 401511680 is 86115104.

It can be written as a sum of positive squares in 4 ways, for example, as 53465344 + 348046336 = 7312^2 + 18656^2 .

It is a super-2 number, since 2×401511680² = 322423258352844800, 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 7 ways as a sum of consecutive naturals, for example, 91292 + ... + 95588.

Almost surely, 2^401511680 is an apocalyptic number.

401511680 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 401511680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (487573716).

401511680 is an abundant number, since it is smaller than the sum of its proper divisors (573635752).

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

401511680 is an equidigital number, since it uses as much as digits as its factorization.

401511680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4391 (or 4377 counting only the distinct ones).

The product of its (nonzero) digits is 960, while the sum is 26.

The square root of 401511680 is about 20037.7563614293. The cubic root of 401511680 is about 737.7333123742.

Adding to 401511680 its reverse (86115104), we get a palindrome (487626784).

The spelling of 401511680 in words is "four hundred one million, five hundred eleven thousand, six hundred eighty".