402042720 has 192 divisors, whose sum is σ = 1341204480. Its totient is φ = 101068800.

The previous prime is 402042709. The next prime is 402042727. The reversal of 402042720 is 27240204.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (402042727) 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, 609751 + ... + 610409.

It is an arithmetic number, because the mean of its divisors is an integer number (6985440).

Almost surely, 2^402042720 is an apocalyptic number.

402042720 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 402042720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (670602240).

402042720 is an abundant number, since it is smaller than the sum of its proper divisors (939161760).

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

402042720 is a wasteful number, since it uses less digits than its factorization.

402042720 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 749 (or 741 counting only the distinct ones).

The product of its (nonzero) digits is 896, while the sum is 21.

The square root of 402042720 is about 20051.0029674328. The cubic root of 402042720 is about 738.0584115164.

Adding to 402042720 its reverse (27240204), we get a palindrome (429282924).

It can be divided in two parts, 40204 and 2720, that added together give a palindrome (42924).

The spelling of 402042720 in words is "four hundred two million, forty-two thousand, seven hundred twenty".