401617440 has 480 divisors, whose sum is σ = 1712430720. Its totient is φ = 86593536.

The previous prime is 401617423. The next prime is 401617441. The reversal of 401617440 is 44716104.

401617440 is a `hidden beast` number, since 4 + 0 + 1 + 617 + 4 + 40 = 666.

It is a tau number, because it is divible by the number of its divisors (480).

It is a super-2 number, since 2×401617440² = 322593136224307200, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (401617441) by changing a digit.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 1723564 + ... + 1723796.

It is an arithmetic number, because the mean of its divisors is an integer number (3567564).

Almost surely, 2^401617440 is an apocalyptic number.

401617440 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 401617440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (856215360).

401617440 is an abundant number, since it is smaller than the sum of its proper divisors (1310813280).

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

401617440 is a wasteful number, since it uses less digits than its factorization.

401617440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 286 (or 269 counting only the distinct ones).

The product of its (nonzero) digits is 2688, while the sum is 27.

The square root of 401617440 is about 20040.3952056839. The cubic root of 401617440 is about 737.7980807894.

The spelling of 401617440 in words is "four hundred one million, six hundred seventeen thousand, four hundred forty".