412235454400 has 336 divisors, whose sum is σ = 1286110183680. Its totient is φ = 126308966400.

The previous prime is 412235454383. The next prime is 412235454457. The reversal of 412235454400 is 4454532214.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 7240444 + ... + 7297156.

It is an arithmetic number, because the mean of its divisors is an integer number (3827708880).

Almost surely, 2^412235454400 is an apocalyptic number.

412235454400 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 412235454400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (643055091840).

412235454400 is an abundant number, since it is smaller than the sum of its proper divisors (873874729280).

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

412235454400 is a wasteful number, since it uses less digits than its factorization.

412235454400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 56812 (or 56797 counting only the distinct ones).

The product of its (nonzero) digits is 76800, while the sum is 34.

Adding to 412235454400 its reverse (4454532214), we get a palindrome (416689986614).

The spelling of 412235454400 in words is "four hundred twelve billion, two hundred thirty-five million, four hundred fifty-four thousand, four hundred".