412252530400 has 144 divisors (see below), whose sum is σ = 1060372600560. Its totient is φ = 156075724800.

The previous prime is 412252530329. The next prime is 412252530427. The reversal of 412252530400 is 4035252214.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 16966260 + ... + 16990540.

It is an arithmetic number, because the mean of its divisors is an integer number (7363698615).

Almost surely, 2^412252530400 is an apocalyptic number.

412252530400 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 412252530400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (530186300280).

412252530400 is an abundant number, since it is smaller than the sum of its proper divisors (648120070160).

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

412252530400 is a wasteful number, since it uses less digits than its factorization.

412252530400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 25437 (or 25424 counting only the distinct ones).

The product of its (nonzero) digits is 9600, while the sum is 28.

Adding to 412252530400 its reverse (4035252214), we get a palindrome (416287782614).

The spelling of 412252530400 in words is "four hundred twelve billion, two hundred fifty-two million, five hundred thirty thousand, four hundred".