402738840 has 432 divisors, whose sum is σ = 1637906400. Its totient is φ = 85542912.

The previous prime is 402738829. The next prime is 402738841. The reversal of 402738840 is 48837204.

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

It is a junction number, because it is equal to n+sod(n) for n = 402738795 and 402738804.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (402738841) by changing a digit.

It is a polite number, since it can be written in 107 ways as a sum of consecutive naturals, for example, 5097921 + ... + 5097999.

It is an arithmetic number, because the mean of its divisors is an integer number (3791450).

Almost surely, 2^402738840 is an apocalyptic number.

402738840 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 402738840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (818953200).

402738840 is an abundant number, since it is smaller than the sum of its proper divisors (1235167560).

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

402738840 is a wasteful number, since it uses less digits than its factorization.

402738840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 144 (or 113 counting only the distinct ones).

The product of its (nonzero) digits is 43008, while the sum is 36.

The square root of 402738840 is about 20068.3541926088. The cubic root of 402738840 is about 738.4841382306.

The spelling of 402738840 in words is "four hundred two million, seven hundred thirty-eight thousand, eight hundred forty".