402420120 has 128 divisors (see below), whose sum is σ = 1241049600. Its totient is φ = 104351744.

The previous prime is 402420091. The next prime is 402420127. The reversal of 402420120 is 21024204.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 402420120.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (402420127) 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 31 ways as a sum of consecutive naturals, for example, 799789 + ... + 800291.

It is an arithmetic number, because the mean of its divisors is an integer number (9695700).

Almost surely, 2^402420120 is an apocalyptic number.

402420120 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 402420120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (620524800).

402420120 is an abundant number, since it is smaller than the sum of its proper divisors (838629480).

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

402420120 is a wasteful number, since it uses less digits than its factorization.

402420120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 689 (or 685 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 15.

The square root of 402420120 is about 20060.4117604799. The cubic root of 402420120 is about 738.2892792985.

Adding to 402420120 its reverse (21024204), we get a palindrome (423444324).

The spelling of 402420120 in words is "four hundred two million, four hundred twenty thousand, one hundred twenty".