401244480 has 336 divisors, whose sum is σ = 1699711104. Its totient is φ = 84602880.

The previous prime is 401244469. The next prime is 401244521. The reversal of 401244480 is 84442104.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (336).

It is a zygodrome in base 4.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 261315 + ... + 262845.

It is an arithmetic number, because the mean of its divisors is an integer number (5058664).

Almost surely, 2^401244480 is an apocalyptic number.

401244480 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 401244480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (849855552).

401244480 is an abundant number, since it is smaller than the sum of its proper divisors (1298466624).

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

401244480 is a wasteful number, since it uses less digits than its factorization.

401244480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1574 (or 1561 counting only the distinct ones).

The product of its (nonzero) digits is 4096, while the sum is 27.

The square root of 401244480 is about 20031.0878386572. The cubic root of 401244480 is about 737.5696259076.

Adding to 401244480 its reverse (84442104), we get a palindrome (485686584).

The spelling of 401244480 in words is "four hundred one million, two hundred forty-four thousand, four hundred eighty".