401603840 has 108 divisors (see below), whose sum is σ = 1057776132. Its totient is φ = 145981440.

The previous prime is 401603827. The next prime is 401603927. The reversal of 401603840 is 48306104.

It can be written as a sum of positive squares in 2 ways, for example, as 193321216 + 208282624 = 13904^2 + 14432^2 .

It is a super-2 number, since 2×401603840² = 322571288605491200, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 153584 + ... + 156176.

Almost surely, 2^401603840 is an apocalyptic number.

401603840 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 401603840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (528888066).

401603840 is an abundant number, since it is smaller than the sum of its proper divisors (656172292).

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

401603840 is a wasteful number, since it uses less digits than its factorization.

401603840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2636 (or 2611 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 26.

The square root of 401603840 is about 20040.0558881456. The cubic root of 401603840 is about 737.7897526591.

Adding to 401603840 its reverse (48306104), we get a palindrome (449909944).

The spelling of 401603840 in words is "four hundred one million, six hundred three thousand, eight hundred forty".