402341920 has 48 divisors (see below), whose sum is σ = 953745408. Its totient is φ = 160392960.

The previous prime is 402341917. The next prime is 402341923. The reversal of 402341920 is 29143204.

It is an interprime number because it is at equal distance from previous prime (402341917) and next prime (402341923).

It is not an unprimeable number, because it can be changed into a prime (402341923) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 45025 + ... + 53215.

It is an arithmetic number, because the mean of its divisors is an integer number (19869696).

Almost surely, 2^402341920 is an apocalyptic number.

402341920 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 402341920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (476872704).

402341920 is an abundant number, since it is smaller than the sum of its proper divisors (551403488).

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

402341920 is a wasteful number, since it uses less digits than its factorization.

402341920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8513 (or 8505 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 25.

The square root of 402341920 is about 20058.4625532467. The cubic root of 402341920 is about 738.2414536896.

The spelling of 402341920 in words is "four hundred two million, three hundred forty-one thousand, nine hundred twenty".