400414020 has 48 divisors (see below), whose sum is σ = 1159824960. Its totient is φ = 103094656.

The previous prime is 400414019. The next prime is 400414051. The reversal of 400414020 is 20414004.

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 113322 + ... + 116801.

It is an arithmetic number, because the mean of its divisors is an integer number (24163020).

Almost surely, 2^400414020 is an apocalyptic number.

It is an amenable number.

400414020 is an abundant number, since it is smaller than the sum of its proper divisors (759410940).

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

400414020 is a wasteful number, since it uses less digits than its factorization.

400414020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 230164 (or 230162 counting only the distinct ones).

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

The square root of 400414020 is about 20010.3478230639. The cubic root of 400414020 is about 737.0604225251.

Adding to 400414020 its reverse (20414004), we get a palindrome (420828024).

The spelling of 400414020 in words is "four hundred million, four hundred fourteen thousand, twenty".