402165400 has 192 divisors, whose sum is σ = 1212422400. Its totient is φ = 120476160.

The previous prime is 402165349. The next prime is 402165409. The reversal of 402165400 is 4561204.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (402165409) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 345219 + ... + 346381.

It is an arithmetic number, because the mean of its divisors is an integer number (6314700).

Almost surely, 2^402165400 is an apocalyptic number.

402165400 is a gapful number since it is divisible by the number (40) 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 402165400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (606211200).

402165400 is an abundant number, since it is smaller than the sum of its proper divisors (810257000).

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

402165400 is a wasteful number, since it uses less digits than its factorization.

402165400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1218 (or 1209 counting only the distinct ones).

The product of its (nonzero) digits is 960, while the sum is 22.

The square root of 402165400 is about 20054.0619326859. The cubic root of 402165400 is about 738.1334746820.

The spelling of 402165400 in words is "four hundred two million, one hundred sixty-five thousand, four hundred".