400433792 has 64 divisors (see below), whose sum is σ = 875404800. Its totient is φ = 180940800.

The previous prime is 400433783. The next prime is 400433807. The reversal of 400433792 is 297334004.

It is a tau number, because it is divible by the number of its divisors (64).

It is a Harshad number since it is a multiple of its sum of digits (32).

It is an unprimeable number.

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 7 ways as a sum of consecutive naturals, for example, 268184 + ... + 269672.

It is an arithmetic number, because the mean of its divisors is an integer number (13678200).

Almost surely, 2^400433792 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 400433792, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (437702400).

400433792 is an abundant number, since it is smaller than the sum of its proper divisors (474971008).

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

400433792 is a wasteful number, since it uses less digits than its factorization.

400433792 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1705 (or 1693 counting only the distinct ones).

The product of its (nonzero) digits is 18144, while the sum is 32.

The square root of 400433792 is about 20010.8418613511. The cubic root of 400433792 is about 737.0725540674.

Adding to 400433792 its reverse (297334004), we get a palindrome (697767796).

The spelling of 400433792 in words is "four hundred million, four hundred thirty-three thousand, seven hundred ninety-two".