400084425 has 144 divisors (see below), whose sum is σ = 850362240. Its totient is φ = 177914880.

The previous prime is 400084423. The next prime is 400084429. The reversal of 400084425 is 524480004.

It is not a de Polignac number, because 400084425 - 2¹ = 400084423 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (400084423) by changing a digit.

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 143 ways as a sum of consecutive naturals, for example, 1278069 + ... + 1278381.

Almost surely, 2^400084425 is an apocalyptic number.

400084425 is a gapful number since it is divisible by the number (45) formed by its first and last digit.

It is an amenable number.

400084425 is an abundant number, since it is smaller than the sum of its proper divisors (450277815).

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

400084425 is a wasteful number, since it uses less digits than its factorization.

400084425 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 384 (or 376 counting only the distinct ones).

The product of its (nonzero) digits is 5120, while the sum is 27.

The square root of 400084425 is about 20002.1105136433. The cubic root of 400084425 is about 736.8581334747.

The spelling of 400084425 in words is "four hundred million, eighty-four thousand, four hundred twenty-five".