402530400 has 216 divisors, whose sum is σ = 1458750384. Its totient is φ = 104371200.

The previous prime is 402530377. The next prime is 402530417. The reversal of 402530400 is 4035204.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 265645 + ... + 267155.

It is an arithmetic number, because the mean of its divisors is an integer number (6753474).

Almost surely, 2^402530400 is an apocalyptic number.

402530400 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 402530400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (729375192).

402530400 is an abundant number, since it is smaller than the sum of its proper divisors (1056219984).

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

402530400 is a wasteful number, since it uses less digits than its factorization.

402530400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1574 (or 1558 counting only the distinct ones).

The product of its (nonzero) digits is 480, while the sum is 18.

The square root of 402530400 is about 20063.1602695089. The cubic root of 402530400 is about 738.3567138869.

Adding to 402530400 its reverse (4035204), we get a palindrome (406565604).

The spelling of 402530400 in words is "four hundred two million, five hundred thirty thousand, four hundred".