400303540 has 108 divisors (see below), whose sum is σ = 1059330636. Its totient is φ = 126637056.

The previous prime is 400303513. The next prime is 400303591. The reversal of 400303540 is 45303004.

It can be written as a sum of positive squares in 6 ways, for example, as 8976016 + 391327524 = 2996^2 + 19782^2 .

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 164412 + ... + 166828.

It is an arithmetic number, because the mean of its divisors is an integer number (9808617).

Almost surely, 2^400303540 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 400303540, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (529665318).

400303540 is an abundant number, since it is smaller than the sum of its proper divisors (659027096).

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

400303540 is a wasteful number, since it uses less digits than its factorization.

400303540 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2466 (or 2444 counting only the distinct ones).

The product of its (nonzero) digits is 720, while the sum is 19.

The square root of 400303540 is about 20007.5870609127. The cubic root of 400303540 is about 736.9926277579.

Adding to 400303540 its reverse (45303004), we get a palindrome (445606544).

The spelling of 400303540 in words is "four hundred million, three hundred three thousand, five hundred forty".