400704084 has 108 divisors (see below), whose sum is σ = 1154916672. Its totient is φ = 121389840.

The previous prime is 400703959. The next prime is 400704089. The reversal of 400704084 is 480407004.

It is a tau number, because it is divible by the number of its divisors (108).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (400704089) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 115909 + ... + 119315.

Almost surely, 2^400704084 is an apocalyptic number.

400704084 is a gapful number since it is divisible by the number (44) 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 400704084, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (577458336).

400704084 is an abundant number, since it is smaller than the sum of its proper divisors (754212588).

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

400704084 is a wasteful number, since it uses less digits than its factorization.

400704084 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3448 (or 3423 counting only the distinct ones).

The product of its (nonzero) digits is 3584, while the sum is 27.

The square root of 400704084 is about 20017.5943609616. The cubic root of 400704084 is about 737.2383575952.

The spelling of 400704084 in words is "four hundred million, seven hundred four thousand, eighty-four".