400848064 has 56 divisors (see below), whose sum is σ = 821771280. Its totient is φ = 193880064.

The previous prime is 400848059. The next prime is 400848067. The reversal of 400848064 is 460848004.

It is a hoax number, since the sum of its digits (34) coincides with the sum of the digits of its distinct prime factors.

It is not an unprimeable number, because it can be changed into a prime (400848067) 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, 310332 + ... + 311620.

Almost surely, 2^400848064 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 400848064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (410885640).

400848064 is an abundant number, since it is smaller than the sum of its proper divisors (420923216).

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

400848064 is a wasteful number, since it uses less digits than its factorization.

400848064 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1457 (or 1447 counting only the distinct ones).

The product of its (nonzero) digits is 24576, while the sum is 34.

The square root of 400848064 is about 20021.1903742010. The cubic root of 400848064 is about 737.3266479088.

The spelling of 400848064 in words is "four hundred million, eight hundred forty-eight thousand, sixty-four".