402630480 has 320 divisors, whose sum is σ = 1637990400. Its totient is φ = 88957440.

The previous prime is 402630467. The next prime is 402630509. The reversal of 402630480 is 84036204.

It is a super-2 number, since 2×402630480² = 324222606850060800, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 468291 + ... + 469149.

It is an arithmetic number, because the mean of its divisors is an integer number (5118720).

Almost surely, 2^402630480 is an apocalyptic number.

402630480 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 402630480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (818995200).

402630480 is an abundant number, since it is smaller than the sum of its proper divisors (1235359920).

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

402630480 is a wasteful number, since it uses less digits than its factorization.

402630480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 919 (or 907 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 27.

The square root of 402630480 is about 20065.6542380257. The cubic root of 402630480 is about 738.4179006666.

Adding to 402630480 its reverse (84036204), we get a palindrome (486666684).

The spelling of 402630480 in words is "four hundred two million, six hundred thirty thousand, four hundred eighty".