356400640 has 80 divisors (see below), whose sum is σ = 891826848. Its totient is φ = 136339456.

The previous prime is 356400637. The next prime is 356400647. The reversal of 356400640 is 46004653.

It is a tau number, because it is divible by the number of its divisors (80).

It is a junction number, because it is equal to n+sod(n) for n = 356400599 and 356400608.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (356400647) by changing a digit.

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 7 ways as a sum of consecutive naturals, for example, 55854 + ... + 61906.

Almost surely, 2^356400640 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 356400640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (445913424).

356400640 is an abundant number, since it is smaller than the sum of its proper divisors (535426208).

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

356400640 is an equidigital number, since it uses as much as digits as its factorization.

356400640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6099 (or 6083 counting only the distinct ones).

The product of its (nonzero) digits is 8640, while the sum is 28.

The square root of 356400640 is about 18878.5762175011. The cubic root of 356400640 is about 708.9998746720. Note that the first 3 decimals are identical.

The spelling of 356400640 in words is "three hundred fifty-six million, four hundred thousand, six hundred forty".