401505280 has 88 divisors (see below), whose sum is σ = 1050847920. Its totient is φ = 145981440.

The previous prime is 401505271. The next prime is 401505287. The reversal of 401505280 is 82505104.

401505280 is digitally balanced in base 6, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (88).

It is a super-2 number, since 2×401505280² = 322412979735756800, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (401505287) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 52756 + ... + 59884.

Almost surely, 2^401505280 is an apocalyptic number.

401505280 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 401505280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (525423960).

401505280 is an abundant number, since it is smaller than the sum of its proper divisors (649342640).

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

401505280 is a wasteful number, since it uses less digits than its factorization.

401505280 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7165 (or 7147 counting only the distinct ones).

The product of its (nonzero) digits is 1600, while the sum is 25.

The square root of 401505280 is about 20037.5966622746. The cubic root of 401505280 is about 737.7293925893.

The spelling of 401505280 in words is "four hundred one million, five hundred five thousand, two hundred eighty".