402280200 has 216 divisors, whose sum is σ = 1571905530. Its totient is φ = 91929600.

The previous prime is 402280147. The next prime is 402280201. The reversal of 402280200 is 2082204.

It can be written as a sum of positive squares in 3 ways, for example, as 266930244 + 135349956 = 16338^2 + 11634^2 .

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (402280201) by changing a digit.

It is a polite number, since it can be written in 53 ways as a sum of consecutive naturals, for example, 85920 + ... + 90480.

Almost surely, 2^402280200 is an apocalyptic number.

402280200 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 402280200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (785952765).

402280200 is an abundant number, since it is smaller than the sum of its proper divisors (1169625330).

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

402280200 is a wasteful number, since it uses less digits than its factorization.

402280200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4597 (or 4578 counting only the distinct ones).

The product of its (nonzero) digits is 256, while the sum is 18.

The square root of 402280200 is about 20056.9239914799. The cubic root of 402280200 is about 738.2037025545.

The spelling of 402280200 in words is "four hundred two million, two hundred eighty thousand, two hundred".