400410120 has 64 divisors (see below), whose sum is σ = 1310437440. Its totient is φ = 97068800.

The previous prime is 400410119. The next prime is 400410121. The reversal of 400410120 is 21014004.

It is an interprime number because it is at equal distance from previous prime (400410119) and next prime (400410121).

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a junction number, because it is equal to n+sod(n) for n = 400410096 and 400410105.

It is not an unprimeable number, because it can be changed into a prime (400410121) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 150351 + ... + 152990.

It is an arithmetic number, because the mean of its divisors is an integer number (20475585).

Almost surely, 2^400410120 is an apocalyptic number.

400410120 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

400410120 is an abundant number, since it is smaller than the sum of its proper divisors (910027320).

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

400410120 is a wasteful number, since it uses less digits than its factorization.

400410120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 303366 (or 303362 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 12.

The square root of 400410120 is about 20010.2503732462. The cubic root of 400410120 is about 737.0580295478.

Adding to 400410120 its reverse (21014004), we get a palindrome (421424124).

The spelling of 400410120 in words is "four hundred million, four hundred ten thousand, one hundred twenty".