400648424 has 48 divisors (see below), whose sum is σ = 832473600. Its totient is φ = 180623520.

The previous prime is 400648403. The next prime is 400648441. The reversal of 400648424 is 424846004.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 121307 + ... + 124565.

It is an arithmetic number, because the mean of its divisors is an integer number (17343200).

Almost surely, 2^400648424 is an apocalyptic number.

400648424 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 400648424, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (416236800).

400648424 is an abundant number, since it is smaller than the sum of its proper divisors (431825176).

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

400648424 is a wasteful number, since it uses less digits than its factorization.

400648424 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3414 (or 3399 counting only the distinct ones).

The product of its (nonzero) digits is 24576, while the sum is 32.

The square root of 400648424 is about 20016.2040357307. The cubic root of 400648424 is about 737.2042205277.

The spelling of 400648424 in words is "four hundred million, six hundred forty-eight thousand, four hundred twenty-four".