401584608 has 192 divisors, whose sum is σ = 1306368000. Its totient is φ = 119273472.

The previous prime is 401584553. The next prime is 401584609. The reversal of 401584608 is 806485104.

401584608 is a `hidden beast` number, since 40 + 1 + 5 + 8 + 4 + 608 = 666.

It is a super-2 number, since 2×401584608² = 322540394765027328, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (401584609) 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, 278353 + ... + 279791.

It is an arithmetic number, because the mean of its divisors is an integer number (6804000).

Almost surely, 2^401584608 is an apocalyptic number.

401584608 is a gapful number since it is divisible by the number (48) 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 401584608, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (653184000).

401584608 is an abundant number, since it is smaller than the sum of its proper divisors (904783392).

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

401584608 is a wasteful number, since it uses less digits than its factorization.

401584608 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1494 (or 1480 counting only the distinct ones).

The product of its (nonzero) digits is 30720, while the sum is 36.

The square root of 401584608 is about 20039.5760434197. The cubic root of 401584608 is about 737.7779753821. Note that the first 3 decimals are identical.

The spelling of 401584608 in words is "four hundred one million, five hundred eighty-four thousand, six hundred eight".