400525440 has 256 divisors, whose sum is σ = 1545765120. Its totient is φ = 86114304.

The previous prime is 400525439. The next prime is 400525441. The reversal of 400525440 is 44525004.

It is an interprime number because it is at equal distance from previous prime (400525439) and next prime (400525441).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a self number, because there is not a number n which added to its sum of digits gives 400525440.

It is not an unprimeable number, because it can be changed into a prime (400525441) 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, 227604 + ... + 229356.

It is an arithmetic number, because the mean of its divisors is an integer number (6038145).

Almost surely, 2^400525440 is an apocalyptic number.

400525440 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 400525440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (772882560).

400525440 is an abundant number, since it is smaller than the sum of its proper divisors (1145239680).

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

400525440 is a wasteful number, since it uses less digits than its factorization.

400525440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1799 (or 1787 counting only the distinct ones).

The product of its (nonzero) digits is 3200, while the sum is 24.

The square root of 400525440 is about 20013.1316889686. The cubic root of 400525440 is about 737.1287814837.

The spelling of 400525440 in words is "four hundred million, five hundred twenty-five thousand, four hundred forty".