400474368 has 360 divisors, whose sum is σ = 1424586240. Its totient is φ = 109486080.

The previous prime is 400474331. The next prime is 400474391. The reversal of 400474368 is 863474004.

It is a Harshad number since it is a multiple of its sum of digits (36).

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 39 ways as a sum of consecutive naturals, for example, 4499668 + ... + 4499756.

It is an arithmetic number, because the mean of its divisors is an integer number (3957184).

Almost surely, 2^400474368 is an apocalyptic number.

400474368 is a gapful number since it is divisible by the number (48) 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 400474368, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (712293120).

400474368 is an abundant number, since it is smaller than the sum of its proper divisors (1024111872).

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

400474368 is an equidigital number, since it uses as much as digits as its factorization.

400474368 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 155 (or 132 counting only the distinct ones).

The product of its (nonzero) digits is 64512, while the sum is 36.

The square root of 400474368 is about 20011.8556860677. The cubic root of 400474368 is about 737.0974491074.

The spelling of 400474368 in words is "four hundred million, four hundred seventy-four thousand, three hundred sixty-eight".