401506480 has 80 divisors (see below), whose sum is σ = 1005649920. Its totient is φ = 148587264.

The previous prime is 401506471. The next prime is 401506489. The reversal of 401506480 is 84605104.

It is an interprime number because it is at equal distance from previous prime (401506471) and next prime (401506489).

It is a tau number, because it is divible by the number of its divisors (80).

It is a super-2 number, since 2×401506480² = 322414906963980800, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (401506489) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 62289 + ... + 68431.

It is an arithmetic number, because the mean of its divisors is an integer number (12570624).

Almost surely, 2^401506480 is an apocalyptic number.

401506480 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 401506480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (502824960).

401506480 is an abundant number, since it is smaller than the sum of its proper divisors (604143440).

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

401506480 is a wasteful number, since it uses less digits than its factorization.

401506480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6218 (or 6212 counting only the distinct ones).

The product of its (nonzero) digits is 3840, while the sum is 28.

The square root of 401506480 is about 20037.6266059631. The cubic root of 401506480 is about 737.7301275521.

The spelling of 401506480 in words is "four hundred one million, five hundred six thousand, four hundred eighty".