400712004 has 216 divisors, whose sum is σ = 1304136288. Its totient is φ = 102574080.

The previous prime is 400711973. The next prime is 400712009. The reversal of 400712004 is 400217004.

It is a happy number.

It is a super-2 number, since 2×400712004² = 321140220299392032, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is not an unprimeable number, because it can be changed into a prime (400712009) 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 71 ways as a sum of consecutive naturals, for example, 2076132 + ... + 2076324.

It is an arithmetic number, because the mean of its divisors is an integer number (6037668).

Almost surely, 2^400712004 is an apocalyptic number.

400712004 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 400712004, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (652068144).

400712004 is an abundant number, since it is smaller than the sum of its proper divisors (903424284).

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

400712004 is a wasteful number, since it uses less digits than its factorization.

400712004 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 335 (or 323 counting only the distinct ones).

The product of its (nonzero) digits is 224, while the sum is 18.

The square root of 400712004 is about 20017.7921859530. The cubic root of 400712004 is about 737.2432147867.

Adding to 400712004 its reverse (400217004), we get a palindrome (800929008).

The spelling of 400712004 in words is "four hundred million, seven hundred twelve thousand, four".