400064420 has 36 divisors (see below), whose sum is σ = 977302620. Its totient is φ = 137164608.

The previous prime is 400064419. The next prime is 400064449. The reversal of 400064420 is 24460004.

It can be written as a sum of positive squares in 2 ways, for example, as 184796836 + 215267584 = 13594^2 + 14672^2 .

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a junction number, because it is equal to n+sod(n) for n = 400064392 and 400064401.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 203135 + ... + 205094.

It is an arithmetic number, because the mean of its divisors is an integer number (27147295).

Almost surely, 2^400064420 is an apocalyptic number.

It is an amenable number.

400064420 is an abundant number, since it is smaller than the sum of its proper divisors (577238200).

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

400064420 is a wasteful number, since it uses less digits than its factorization.

400064420 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 408252 (or 408243 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 20.

The square root of 400064420 is about 20001.6104351625. The cubic root of 400064420 is about 736.8458518231.

The spelling of 400064420 in words is "four hundred million, sixty-four thousand, four hundred twenty".