400410240 has 128 divisors (see below), whose sum is σ = 1282115520. Its totient is φ = 106291200.

The previous prime is 400410239. The next prime is 400410259. The reversal of 400410240 is 42014004.

It is a tau number, because it is divible by the number of its divisors (128).

It is a Harshad number since it is a multiple of its sum of digits (15).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 665940 + ... + 666540.

Almost surely, 2^400410240 is an apocalyptic number.

400410240 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 400410240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (641057760).

400410240 is an abundant number, since it is smaller than the sum of its proper divisors (881705280).

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

400410240 is a wasteful number, since it uses less digits than its factorization.

400410240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 970 (or 958 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 15.

The square root of 400410240 is about 20010.2533717092. The cubic root of 400410240 is about 737.0581031781.

Adding to 400410240 its reverse (42014004), we get a palindrome (442424244).

The spelling of 400410240 in words is "four hundred million, four hundred ten thousand, two hundred forty".