401520480 has 48 divisors (see below), whose sum is σ = 1264791024. Its totient is φ = 107072000.

The previous prime is 401520479. The next prime is 401520487. The reversal of 401520480 is 84025104.

It is a tau number, because it is divible by the number of its divisors (48).

It is a super-2 number, since 2×401520480² = 322437391718860800, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a self number, because there is not a number n which added to its sum of digits gives 401520480.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (401520487) 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, 417771 + ... + 418730.

It is an arithmetic number, because the mean of its divisors is an integer number (26349813).

Almost surely, 2^401520480 is an apocalyptic number.

401520480 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

401520480 is an abundant number, since it is smaller than the sum of its proper divisors (863270544).

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

401520480 is a wasteful number, since it uses less digits than its factorization.

401520480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 836519 (or 836511 counting only the distinct ones).

The product of its (nonzero) digits is 1280, while the sum is 24.

The square root of 401520480 is about 20037.9759456887. The cubic root of 401520480 is about 737.7387020105.

Adding to 401520480 its reverse (84025104), we get a palindrome (485545584).

The spelling of 401520480 in words is "four hundred one million, five hundred twenty thousand, four hundred eighty".