402169680 has 480 divisors, whose sum is σ = 1629538560. Its totient is φ = 87736320.

The previous prime is 402169667. The next prime is 402169681. The reversal of 402169680 is 86961204.

It is a super-2 number, since 2×402169680² = 323480903022604800, which contains 22 as substring.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (402169681) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 3904509 + ... + 3904611.

It is an arithmetic number, because the mean of its divisors is an integer number (3394872).

Almost surely, 2^402169680 is an apocalyptic number.

402169680 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 402169680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (814769280).

402169680 is an abundant number, since it is smaller than the sum of its proper divisors (1227368880).

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

402169680 is a wasteful number, since it uses less digits than its factorization.

402169680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 179 (or 170 counting only the distinct ones).

The product of its (nonzero) digits is 20736, while the sum is 36.

The square root of 402169680 is about 20054.1686439503. The cubic root of 402169680 is about 738.1360931735.

The spelling of 402169680 in words is "four hundred two million, one hundred sixty-nine thousand, six hundred eighty".