400133412 has 72 divisors (see below), whose sum is σ = 1206767520. Its totient is φ = 114322320.

The previous prime is 400133359. The next prime is 400133413. The reversal of 400133412 is 214331004.

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 (400133413) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 32514 + ... + 43097.

It is an arithmetic number, because the mean of its divisors is an integer number (16760660).

Almost surely, 2^400133412 is an apocalyptic number.

400133412 is a gapful number since it is divisible by the number (42) formed by its first and last digit.

It is an amenable number.

400133412 is an abundant number, since it is smaller than the sum of its proper divisors (806634108).

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

400133412 is a wasteful number, since it uses less digits than its factorization.

400133412 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 75638 (or 75623 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 18.

The square root of 400133412 is about 20003.3350219407. The cubic root of 400133412 is about 736.8882062910. Note that the first 3 decimals are identical.

Adding to 400133412 its reverse (214331004), we get a palindrome (614464416).

The spelling of 400133412 in words is "four hundred million, one hundred thirty-three thousand, four hundred twelve".