401345280 has 540 divisors, whose sum is σ = 1691696160. Its totient is φ = 90574848.

The previous prime is 401345249. The next prime is 401345281. The reversal of 401345280 is 82543104.

401345280 is a `hidden beast` number, since 4 + 0 + 134 + 528 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (540).

It is a super-2 number, since 2×401345280² = 322156067556556800, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (401345281) by changing a digit.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 5080281 + ... + 5080359.

Almost surely, 2^401345280 is an apocalyptic number.

401345280 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 401345280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (845848080).

401345280 is an abundant number, since it is smaller than the sum of its proper divisors (1290350880).

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

401345280 is an equidigital number, since it uses as much as digits as its factorization.

401345280 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 126 (or 96 counting only the distinct ones).

The product of its (nonzero) digits is 3840, while the sum is 27.

The square root of 401345280 is about 20033.6037696666. The cubic root of 401345280 is about 737.6313844257.

Adding to 401345280 its reverse (82543104), we get a palindrome (483888384).

The spelling of 401345280 in words is "four hundred one million, three hundred forty-five thousand, two hundred eighty".