400404880 has 40 divisors (see below), whose sum is σ = 932442552. Its totient is φ = 159903744.

The previous prime is 400404847. The next prime is 400404881. The reversal of 400404880 is 88404004.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 88811776 + 311593104 = 9424^2 + 17652^2 .

It is a tau number, because it is divible by the number of its divisors (40).

It is not an unprimeable number, because it can be changed into a prime (400404881) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 50464 + ... + 57856.

Almost surely, 2^400404880 is an apocalyptic number.

400404880 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

400404880 is an abundant number, since it is smaller than the sum of its proper divisors (532037672).

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

400404880 is a wasteful number, since it uses less digits than its factorization.

400404880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8083 (or 8077 counting only the distinct ones).

The product of its (nonzero) digits is 4096, while the sum is 28.

The square root of 400404880 is about 20010.1194399234. The cubic root of 400404880 is about 737.0548143436.

Adding to 400404880 its reverse (88404004), we get a palindrome (488808884).

The spelling of 400404880 in words is "four hundred million, four hundred four thousand, eight hundred eighty".