402408160 has 192 divisors, whose sum is σ = 1201858560. Its totient is φ = 123678720.

The previous prime is 402408133. The next prime is 402408169. The reversal of 402408160 is 61804204.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (402408169) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1096297 + ... + 1096663.

It is an arithmetic number, because the mean of its divisors is an integer number (6259680).

Almost surely, 2^402408160 is an apocalyptic number.

402408160 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 402408160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (600929280).

402408160 is an abundant number, since it is smaller than the sum of its proper divisors (799450400).

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

402408160 is a wasteful number, since it uses less digits than its factorization.

402408160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 489 (or 481 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 25.

The square root of 402408160 is about 20060.1136587009. The cubic root of 402408160 is about 738.2819651949.

It can be divided in two parts, 40240 and 8160, that added together give a square (48400 = 220²).

The spelling of 402408160 in words is "four hundred two million, four hundred eight thousand, one hundred sixty".