401406480 has 120 divisors (see below), whose sum is σ = 1352532480. Its totient is φ = 106686720.

The previous prime is 401406469. The next prime is 401406497. The reversal of 401406480 is 84604104.

401406480 is a `hidden beast` number, since 4 + 0 + 14 + 0 + 648 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (120).

It is a super-3 number, since 3×401406480³ (a number of 27 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 272145 + ... + 273615.

It is an arithmetic number, because the mean of its divisors is an integer number (11271104).

Almost surely, 2^401406480 is an apocalyptic number.

401406480 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 401406480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (676266240).

401406480 is an abundant number, since it is smaller than the sum of its proper divisors (951126000).

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

401406480 is a wasteful number, since it uses less digits than its factorization.

401406480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1869 (or 1860 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 27.

The square root of 401406480 is about 20035.1311450662. The cubic root of 401406480 is about 737.6688756239.

The spelling of 401406480 in words is "four hundred one million, four hundred six thousand, four hundred eighty".