401328480 has 192 divisors, whose sum is σ = 1491775488. Its totient is φ = 88750080.

The previous prime is 401328463. The next prime is 401328481. The reversal of 401328480 is 84823104.

It is a super-2 number, since 2×401328480² = 322129097718220800, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (401328481) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 102234 + ... + 106086.

It is an arithmetic number, because the mean of its divisors is an integer number (7769664).

Almost surely, 2^401328480 is an apocalyptic number.

401328480 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 401328480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (745887744).

401328480 is an abundant number, since it is smaller than the sum of its proper divisors (1090447008).

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

401328480 is a wasteful number, since it uses less digits than its factorization.

401328480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3909 (or 3901 counting only the distinct ones).

The product of its (nonzero) digits is 6144, while the sum is 30.

The square root of 401328480 is about 20033.1844697741. The cubic root of 401328480 is about 737.6210920575.

The spelling of 401328480 in words is "four hundred one million, three hundred twenty-eight thousand, four hundred eighty".