400746384 has 60 divisors (see below), whose sum is σ = 1124737536. Its totient is φ = 133200576.

The previous prime is 400746383. The next prime is 400746397. The reversal of 400746384 is 483647004.

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

It is not an unprimeable number, because it can be changed into a prime (400746383) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 49057 + ... + 56639.

Almost surely, 2^400746384 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 400746384, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (562368768).

400746384 is an abundant number, since it is smaller than the sum of its proper divisors (723991152).

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

400746384 is a wasteful number, since it uses less digits than its factorization.

400746384 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7964 (or 7955 counting only the distinct ones).

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

The square root of 400746384 is about 20018.6509035949. The cubic root of 400746384 is about 737.2642986712.

The spelling of 400746384 in words is "four hundred million, seven hundred forty-six thousand, three hundred eighty-four".